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40578078060 = 223351331199937
BaseRepresentation
bin100101110010101001…
…000101010101101100
310212201221210221112000
4211302221011111230
51131100441444220
630350305012300
72634363654402
oct456251052554
9125657727460
1040578078060
11162332a3703
127a45624090
133a98a73ca0
141d6d289472
1510c7624390
hex972a4556c

40578078060 has 384 divisors, whose sum is σ = 141195264000. Its totient is φ = 9607403520.

The previous prime is 40578078053. The next prime is 40578078067. The reversal of 40578078060 is 6087087504.

40578078060 is a `hidden beast` number, since 4 + 0 + 578 + 0 + 78 + 0 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (40578078053) and next prime (40578078067).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 40578077997 and 40578078015.

It is not an unprimeable number, because it can be changed into a prime (40578078067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43305912 + ... + 43306848.

It is an arithmetic number, because the mean of its divisors is an integer number (367696000).

Almost surely, 240578078060 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 40578078060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70597632000).

40578078060 is an abundant number, since it is smaller than the sum of its proper divisors (100617185940).

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

40578078060 is a wasteful number, since it uses less digits than its factorization.

40578078060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 40578078060 in words is "forty billion, five hundred seventy-eight million, seventy-eight thousand, sixty".