10007940096 has 440 divisors, whose sum is σ = 37283828736. Its totient is φ = 2597806080.

The previous prime is 10007940073. The next prime is 10007940109. The reversal of 10007940096 is 69004970001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10007940096.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6385905 + ... + 6387471.

Almost surely, 2^10007940096 is an apocalyptic number.

10007940096 is a gapful number since it is divisible by the number (16) 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 10007940096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18641914368).

10007940096 is an abundant number, since it is smaller than the sum of its proper divisors (27275888640).

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

10007940096 is a wasteful number, since it uses less digits than its factorization.

10007940096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 10007940096 in words is "ten billion, seven million, nine hundred forty thousand, ninety-six".