10040931000 has 768 divisors, whose sum is σ = 38898662400. Its totient is φ = 2322432000.

The previous prime is 10040930993. The next prime is 10040931011. The reversal of 10040931000 is 13904001.

It is a super-2 number, since 2×10040931000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 137546964 + ... + 137547036.

It is an arithmetic number, because the mean of its divisors is an integer number (50649300).

Almost surely, 2^10040931000 is an apocalyptic number.

10040931000 is a gapful number since it is divisible by the number (10) 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 10040931000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19449331200).

10040931000 is an abundant number, since it is smaller than the sum of its proper divisors (28857731400).

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

10040931000 is a wasteful number, since it uses less digits than its factorization.

10040931000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The spelling of 10040931000 in words is "ten billion, forty million, nine hundred thirty-one thousand".