10315746400 has 72 divisors (see below), whose sum is σ = 25225338600. Its totient is φ = 4119413760.

The previous prime is 10315746391. The next prime is 10315746439. The reversal of 10315746400 is 464751301.

10315746400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10315746400² (a number of 21 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 483151 + ... + 504049.

It is an arithmetic number, because the mean of its divisors is an integer number (350351925).

Almost surely, 2^10315746400 is an apocalyptic number.

10315746400 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 10315746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12612669300).

10315746400 is an abundant number, since it is smaller than the sum of its proper divisors (14909592200).

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

10315746400 is a wasteful number, since it uses less digits than its factorization.

10315746400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21536 (or 21523 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The spelling of 10315746400 in words is "ten billion, three hundred fifteen million, seven hundred forty-six thousand, four hundred".