442251074572001 has 32 divisors (see below), whose sum is σ = 478898439782400. Its totient is φ = 407204259517440.

The previous prime is 442251074571983. The next prime is 442251074572033. The reversal of 442251074572001 is 100275470152244.

It is a cyclic number.

It is not a de Polignac number, because 442251074572001 - 2⁶ = 442251074571937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442251074572091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149688065 + ... + 152613953.

It is an arithmetic number, because the mean of its divisors is an integer number (14965576243200).

Almost surely, 2^{442251074572001} is an apocalyptic number.

It is an amenable number.

442251074572001 is a deficient number, since it is larger than the sum of its proper divisors (36647365210399).

442251074572001 is a wasteful number, since it uses less digits than its factorization.

442251074572001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2927069.

The product of its (nonzero) digits is 627200, while the sum is 44.

The spelling of 442251074572001 in words is "four hundred forty-two trillion, two hundred fifty-one billion, seventy-four million, five hundred seventy-two thousand, one".