865994342400 has 1224 divisors, whose sum is σ = 3574966767840. Its totient is φ = 198180864000.

The previous prime is 865994342393. The next prime is 865994342429. The reversal of 865994342400 is 4243499568.

865994342400 is a `hidden beast` number, since 8 + 6 + 599 + 4 + 3 + 4 + 2 + 40 + 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, 3081830260 + ... + 3081830540.

Almost surely, 2^865994342400 is an apocalyptic number.

865994342400 is a gapful number since it is divisible by the number (80) 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 865994342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787483383920).

865994342400 is an abundant number, since it is smaller than the sum of its proper divisors (2708972425440).

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

865994342400 is a wasteful number, since it uses less digits than its factorization.

865994342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 321 counting only the distinct ones).

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

The spelling of 865994342400 in words is "eight hundred sixty-five billion, nine hundred ninety-four million, three hundred forty-two thousand, four hundred".