413005151233200 has 240 divisors, whose sum is σ = 1406412755251200. Its totient is φ = 103305091968000.

The previous prime is 413005151233189. The next prime is 413005151233229. The reversal of 413005151233200 is 2332151500314.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 87371760 + ... + 91977359.

It is an arithmetic number, because the mean of its divisors is an integer number (5860053146880).

Almost surely, 2^{413005151233200} is an apocalyptic number.

413005151233200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413005151233200 is an abundant number, since it is smaller than the sum of its proper divisors (993407604018000).

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

413005151233200 is a wasteful number, since it uses less digits than its factorization.

413005151233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179349260 (or 179349249 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 413005151233200 in words is "four hundred thirteen trillion, five billion, one hundred fifty-one million, two hundred thirty-three thousand, two hundred".