10137229440 has 512 divisors, whose sum is σ = 36273484800. Its totient is φ = 2392326144.

The previous prime is 10137229433. The next prime is 10137229463. The reversal of 10137229440 is 4492273101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104507472 + ... + 104507568.

It is an arithmetic number, because the mean of its divisors is an integer number (70846650).

Almost surely, 2^10137229440 is an apocalyptic number.

10137229440 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 10137229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18136742400).

10137229440 is an abundant number, since it is smaller than the sum of its proper divisors (26136255360).

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

10137229440 is a wasteful number, since it uses less digits than its factorization.

10137229440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 10137229440 in words is "ten billion, one hundred thirty-seven million, two hundred twenty-nine thousand, four hundred forty".