10352294400 has 480 divisors, whose sum is σ = 41160936960. Its totient is φ = 2240593920.

The previous prime is 10352294371. The next prime is 10352294453. The reversal of 10352294400 is 449225301.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 5106187 + ... + 5108213.

It is an arithmetic number, because the mean of its divisors is an integer number (85751952).

Almost surely, 2^10352294400 is an apocalyptic number.

10352294400 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 10352294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20580468480).

10352294400 is an abundant number, since it is smaller than the sum of its proper divisors (30808642560).

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

10352294400 is a wasteful number, since it uses less digits than its factorization.

10352294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 10352294400 in words is "ten billion, three hundred fifty-two million, two hundred ninety-four thousand, four hundred".