442100415456 has 72 divisors (see below), whose sum is σ = 1436826356784. Its totient is φ = 126314403840.

The previous prime is 442100415437. The next prime is 442100415457. The reversal of 442100415456 is 654514001244.

442100415456 is a `hidden beast` number, since 4 + 4 + 2 + 100 + 4 + 1 + 545 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 442100415456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442100415457) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109645905 + ... + 109649936.

It is an arithmetic number, because the mean of its divisors is an integer number (19955921622).

Almost surely, 2^442100415456 is an apocalyptic number.

It is an amenable number.

442100415456 is an abundant number, since it is smaller than the sum of its proper divisors (994725941328).

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

442100415456 is a wasteful number, since it uses less digits than its factorization.

442100415456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219295864 (or 219295853 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 442100415456 in words is "four hundred forty-two billion, one hundred million, four hundred fifteen thousand, four hundred fifty-six".