413412441932600 has 96 divisors (see below), whose sum is σ = 1103751878572800. Its totient is φ = 142419597206400.

The previous prime is 413412441932593. The next prime is 413412441932717. The reversal of 413412441932600 is 6239144214314.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4945083104 + ... + 4945166703.

It is an arithmetic number, because the mean of its divisors is an integer number (11497415401800).

Almost surely, 2^{413412441932600} is an apocalyptic number.

413412441932600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413412441932600 is an abundant number, since it is smaller than the sum of its proper divisors (690339436640200).

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

413412441932600 is a wasteful number, since it uses less digits than its factorization.

413412441932600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9890249853 (or 9890249844 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 44.

The spelling of 413412441932600 in words is "four hundred thirteen trillion, four hundred twelve billion, four hundred forty-one million, nine hundred thirty-two thousand, six hundred".