10249757040 has 80 divisors (see below), whose sum is σ = 32176512000. Its totient is φ = 2698665216.

The previous prime is 10249757033. The next prime is 10249757047. The reversal of 10249757040 is 4075794201.

10249757040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10249757033) and next prime (10249757047).

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 10249757040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10249757047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251340 + ... + 289259.

It is an arithmetic number, because the mean of its divisors is an integer number (402206400).

Almost surely, 2^10249757040 is an apocalyptic number.

10249757040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10249757040 is an abundant number, since it is smaller than the sum of its proper divisors (21926754960).

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

10249757040 is a wasteful number, since it uses less digits than its factorization.

10249757040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540694 (or 540688 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 10249757040 in words is "ten billion, two hundred forty-nine million, seven hundred fifty-seven thousand, forty".