363241053656400 has 240 divisors, whose sum is σ = 1165367478332736. Its totient is φ = 96715721256960.

The previous prime is 363241053656381. The next prime is 363241053656413. The reversal of 363241053656400 is 4656350142363.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×363241053656400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 363241053656400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4047073924 + ... + 4047163676.

Almost surely, 2^{363241053656400} is an apocalyptic number.

363241053656400 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 363241053656400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582683739166368).

363241053656400 is an abundant number, since it is smaller than the sum of its proper divisors (802126424676336).

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

363241053656400 is a wasteful number, since it uses less digits than its factorization.

363241053656400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94910 (or 94899 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 48.

The spelling of 363241053656400 in words is "three hundred sixty-three trillion, two hundred forty-one billion, fifty-three million, six hundred fifty-six thousand, four hundred".