364425406400 has 168 divisors, whose sum is σ = 979341663360. Its totient is φ = 132368256000.

The previous prime is 364425406381. The next prime is 364425406519. The reversal of 364425406400 is 4604524463.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16163135 + ... + 16185665.

Almost surely, 2^364425406400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364425406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489670831680).

364425406400 is an abundant number, since it is smaller than the sum of its proper divisors (614916256960).

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

364425406400 is a wasteful number, since it uses less digits than its factorization.

364425406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23483 (or 23468 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 38.

The spelling of 364425406400 in words is "three hundred sixty-four billion, four hundred twenty-five million, four hundred six thousand, four hundred".