413442443222100 has 90 divisors (see below), whose sum is σ = 1340217065666094. Its totient is φ = 110251318190400.

The previous prime is 413442443222069. The next prime is 413442443222131. The reversal of 413442443222100 is 1222344244314.

413442443222100 is a `hidden beast` number, since 4 + 1 + 3 + 4 + 4 + 2 + 4 + 432 + 2 + 210 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (413442443222069) and next prime (413442443222131).

It can be written as a sum of positive squares in 3 ways, for example, as 74775935646864 + 338666507575236 = 8647308^2 + 18402894^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 25521130371 + ... + 25521146570.

Almost surely, 2^{413442443222100} is an apocalyptic number.

It is an amenable number.

413442443222100 is an abundant number, since it is smaller than the sum of its proper divisors (926774622443994).

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

413442443222100 is a wasteful number, since it uses less digits than its factorization.

413442443222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51042276967 (or 51042276951 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 413442443222100 its reverse (1222344244314), we get a palindrome (414664787466414).

The spelling of 413442443222100 in words is "four hundred thirteen trillion, four hundred forty-two billion, four hundred forty-three million, two hundred twenty-two thousand, one hundred".