10242872640 has 2016 divisors, whose sum is σ = 53121519360. Its totient is φ = 1751777280.

The previous prime is 10242872597. The next prime is 10242872669. The reversal of 10242872640 is 4627824201.

10242872640 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 2 + 8 + 7 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a junction number, because it is equal to n+sod(n) for n = 10242872595 and 10242872604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 539098551 + ... + 539098569.

It is an arithmetic number, because the mean of its divisors is an integer number (26349960).

Almost surely, 2^10242872640 is an apocalyptic number.

10242872640 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 10242872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26560759680).

10242872640 is an abundant number, since it is smaller than the sum of its proper divisors (42878646720).

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

10242872640 is a wasteful number, since it uses less digits than its factorization.

10242872640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 10242872640 in words is "ten billion, two hundred forty-two million, eight hundred seventy-two thousand, six hundred forty".