10415257400 has 96 divisors (see below), whose sum is σ = 25789577040. Its totient is φ = 3898152960.

The previous prime is 10415257367. The next prime is 10415257441. The reversal of 10415257400 is 475251401.

10415257400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 579347 + ... + 597053.

Almost surely, 2^10415257400 is an apocalyptic number.

10415257400 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 10415257400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12894788520).

10415257400 is an abundant number, since it is smaller than the sum of its proper divisors (15374319640).

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

10415257400 is a wasteful number, since it uses less digits than its factorization.

10415257400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17913 (or 17904 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The spelling of 10415257400 in words is "ten billion, four hundred fifteen million, two hundred fifty-seven thousand, four hundred".