413801102563200 has 480 divisors, whose sum is σ = 1665836811171720. Its totient is φ = 100315418112000.

The previous prime is 413801102563183. The next prime is 413801102563201. The reversal of 413801102563200 is 2365201108314.

413801102563200 is a `hidden beast` number, since 4 + 1 + 3 + 8 + 0 + 1 + 10 + 2 + 5 + 632 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413801102563201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 69714931 + ... + 75417330.

Almost surely, 2^{413801102563200} is an apocalyptic number.

413801102563200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413801102563200 is an abundant number, since it is smaller than the sum of its proper divisors (1252035708608520).

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

413801102563200 is a wasteful number, since it uses less digits than its factorization.

413801102563200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145132308 (or 145132282 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 413801102563200 in words is "four hundred thirteen trillion, eight hundred one billion, one hundred two million, five hundred sixty-three thousand, two hundred".