10640237410000 has 400 divisors, whose sum is σ = 28759321071360. Its totient is φ = 3779153920000.

The previous prime is 10640237409973. The next prime is 10640237410001. The reversal of 10640237410000 is 1473204601.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×10640237410000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10640237410001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2941728192 + ... + 2941731808.

Almost surely, 2^{10640237410000} is an apocalyptic number.

10640237410000 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 10640237410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14379660535680).

10640237410000 is an abundant number, since it is smaller than the sum of its proper divisors (18119083661360).

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

10640237410000 is a wasteful number, since it uses less digits than its factorization.

10640237410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4272 (or 4251 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 10640237410000 in words is "ten trillion, six hundred forty billion, two hundred thirty-seven million, four hundred ten thousand".