442100353056021 has 64 divisors (see below), whose sum is σ = 718307544084480. Its totient is φ = 266516730000000.

The previous prime is 442100353056001. The next prime is 442100353056119. The reversal of 442100353056021 is 120650353001244.

442100353056021 is a `hidden beast` number, since 4 + 4 + 2 + 10 + 0 + 3 + 5 + 30 + 5 + 602 + 1 = 666.

It is not a de Polignac number, because 442100353056021 - 2¹⁷ = 442100352924949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442100353056001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52036401 + ... + 59933193.

It is an arithmetic number, because the mean of its divisors is an integer number (11223555376320).

Almost surely, 2^{442100353056021} is an apocalyptic number.

It is an amenable number.

442100353056021 is a deficient number, since it is larger than the sum of its proper divisors (276207191028459).

442100353056021 is a wasteful number, since it uses less digits than its factorization.

442100353056021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7897815 (or 7897809 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 442100353056021 in words is "four hundred forty-two trillion, one hundred billion, three hundred fifty-three million, fifty-six thousand, twenty-one".