40100731008 has 288 divisors, whose sum is σ = 119367576720. Its totient is φ = 11922094080.

The previous prime is 40100730947. The next prime is 40100731031. The reversal of 40100731008 is 80013700104.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62364735 + ... + 62365377.

Almost surely, 2^40100731008 is an apocalyptic number.

40100731008 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 40100731008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59683788360).

40100731008 is an abundant number, since it is smaller than the sum of its proper divisors (79266845712).

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

40100731008 is a wasteful number, since it uses less digits than its factorization.

40100731008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The spelling of 40100731008 in words is "forty billion, one hundred million, seven hundred thirty-one thousand, eight".