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40908381696 = 2933713311049
BaseRepresentation
bin100110000110010101…
…000101111000000000
310220120222100002221000
4212012111011320000
51132240021203241
630443144332000
72645514335640
oct460625057000
9126528302830
1040908381696
1116392795716
127b18174000
133b1c322020
141da10aa520
1510e661beb6
hex986545e00

40908381696 has 640 divisors, whose sum is σ = 153990144000. Its totient is φ = 10431037440.

The previous prime is 40908381671. The next prime is 40908381697. The reversal of 40908381696 is 69618380904.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40908381697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38996980 + ... + 38998028.

It is an arithmetic number, because the mean of its divisors is an integer number (240609600).

Almost surely, 240908381696 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 40908381696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76995072000).

40908381696 is an abundant number, since it is smaller than the sum of its proper divisors (113081762304).

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

40908381696 is a wasteful number, since it uses less digits than its factorization.

40908381696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 40908381696 in words is "forty billion, nine hundred eight million, three hundred eighty-one thousand, six hundred ninety-six".