40162868928 has 1008 divisors, whose sum is σ = 154305365760. Its totient is φ = 10131443712.

The previous prime is 40162868881. The next prime is 40162868953. The reversal of 40162868928 is 82986826104.

40162868928 is a `hidden beast` number, since 4 + 0 + 1 + 628 + 6 + 8 + 9 + 2 + 8 = 666.

40162868928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×40162868928² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 680726563 + ... + 680726621.

It is an arithmetic number, because the mean of its divisors is an integer number (153080720).

Almost surely, 2^40162868928 is an apocalyptic number.

40162868928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40162868928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77152682880).

40162868928 is an abundant number, since it is smaller than the sum of its proper divisors (114142496832).

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

40162868928 is a wasteful number, since it uses less digits than its factorization.

40162868928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 40162868928 in words is "forty billion, one hundred sixty-two million, eight hundred sixty-eight thousand, nine hundred twenty-eight".