368565422400 has 420 divisors, whose sum is σ = 1548293848288. Its totient is φ = 84243317760.

The previous prime is 368565422353. The next prime is 368565422431. The reversal of 368565422400 is 4224565863.

368565422400 is a `hidden beast` number, since 3 + 6 + 8 + 565 + 42 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 704067 + ... + 1110333.

Almost surely, 2^368565422400 is an apocalyptic number.

368565422400 is a gapful number since it is divisible by the number (30) 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 368565422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774146924144).

368565422400 is an abundant number, since it is smaller than the sum of its proper divisors (1179728425888).

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

368565422400 is a wasteful number, since it uses less digits than its factorization.

368565422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406308 (or 406284 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 368565422400 in words is "three hundred sixty-eight billion, five hundred sixty-five million, four hundred twenty-two thousand, four hundred".