10368695426400 has 432 divisors, whose sum is σ = 38745945725760. Its totient is φ = 2604525772800.

The previous prime is 10368695426381. The next prime is 10368695426417. The reversal of 10368695426400 is 462459686301.

10368695426400 is a `hidden beast` number, since 1 + 0 + 36 + 8 + 6 + 9 + 542 + 64 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7955209 + ... + 9166391.

It is an arithmetic number, because the mean of its divisors is an integer number (89689689180).

Almost surely, 2^{10368695426400} is an apocalyptic number.

10368695426400 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 10368695426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19372972862880).

10368695426400 is an abundant number, since it is smaller than the sum of its proper divisors (28377250299360).

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

10368695426400 is a wasteful number, since it uses less digits than its factorization.

10368695426400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211279 (or 1211263 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 10368695426400 in words is "ten trillion, three hundred sixty-eight billion, six hundred ninety-five million, four hundred twenty-six thousand, four hundred".