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40414384420 = 225313710117443
BaseRepresentation
bin100101101000111000…
…101001000100100100
310212022112210110001121
4211220320221010210
51130232040300140
630322140303324
72630335412434
oct455070510444
9125275713047
1040414384420
1116159959203
1279ba841b44
133a70b8c247
141d556382c4
1510b808c64a
hex968e29124

40414384420 has 96 divisors (see below), whose sum is σ = 90871796736. Its totient is φ = 15069888000.

The previous prime is 40414384411. The next prime is 40414384469. The reversal of 40414384420 is 2448341404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2308219 + ... + 2325661.

It is an arithmetic number, because the mean of its divisors is an integer number (946581216).

Almost surely, 240414384420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40414384420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45435898368).

40414384420 is an abundant number, since it is smaller than the sum of its proper divisors (50457412316).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40414384420 is a wasteful number, since it uses less digits than its factorization.

40414384420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17621 (or 17619 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

The spelling of 40414384420 in words is "forty billion, four hundred fourteen million, three hundred eighty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 37 62 74 101 124 148 155 185 202 310 370 404 505 620 740 1010 1147 2020 2294 3131 3737 4588 5735 6262 7474 11470 12524 14948 15655 17443 18685 22940 31310 34886 37370 62620 69772 74740 87215 115847 174430 231694 348860 463388 540733 579235 645391 1081466 1158470 1290782 1761743 2162932 2316940 2581564 2703665 3226955 3523486 5407330 6453910 7046972 8808715 10814660 12907820 17617430 20007121 35234860 40014242 54614033 65184491 80028484 100035605 109228066 130368982 200071210 218456132 260737964 273070165 325922455 400142420 546140330 651844910 1092280660 1303689820 2020719221 4041438442 8082876884 10103596105 20207192210 40414384420