363413424774400 has 2592 divisors, whose sum is σ = 1286690252553216. Its totient is φ = 99771678720000.

The previous prime is 363413424774391. The next prime is 363413424774403. The reversal of 363413424774400 is 4477424314363.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363413424774403) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 101483780610 + ... + 101483784190.

It is an arithmetic number, because the mean of its divisors is an integer number (496408276448).

Almost surely, 2^{363413424774400} 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 363413424774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643345126276608).

363413424774400 is an abundant number, since it is smaller than the sum of its proper divisors (923276827778816).

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

363413424774400 is a wasteful number, since it uses less digits than its factorization.

363413424774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3749 (or 3723 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 52.

The spelling of 363413424774400 in words is "three hundred sixty-three trillion, four hundred thirteen billion, four hundred twenty-four million, seven hundred seventy-four thousand, four hundred".