10040156928 has 288 divisors, whose sum is σ = 31641120000. Its totient is φ = 3131301888.

The previous prime is 10040156927. The next prime is 10040156953. The reversal of 10040156928 is 82965104001.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10040156928² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10040156892 and 10040156901.

It is not an unprimeable number, because it can be changed into a prime (10040156927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11687763 + ... + 11688621.

It is an arithmetic number, because the mean of its divisors is an integer number (109865000).

Almost surely, 2^10040156928 is an apocalyptic number.

10040156928 is a gapful number since it is divisible by the number (18) 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 10040156928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15820560000).

10040156928 is an abundant number, since it is smaller than the sum of its proper divisors (21600963072).

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

10040156928 is an equidigital number, since it uses as much as digits as its factorization.

10040156928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10040156928 in words is "ten billion, forty million, one hundred fifty-six thousand, nine hundred twenty-eight".