442251540452121 has 32 divisors (see below), whose sum is σ = 590564300976000. Its totient is φ = 294386974801920.

The previous prime is 442251540452101. The next prime is 442251540452149. The reversal of 442251540452121 is 121254045152244.

It is not a de Polignac number, because 442251540452121 - 2¹³ = 442251540443929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (442251540452101) 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, 50618233065 + ... + 50618241801.

It is an arithmetic number, because the mean of its divisors is an integer number (18455134405500).

Almost surely, 2^{442251540452121} is an apocalyptic number.

It is an amenable number.

442251540452121 is a deficient number, since it is larger than the sum of its proper divisors (148312760523879).

442251540452121 is a wasteful number, since it uses less digits than its factorization.

442251540452121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17609.

The product of its (nonzero) digits is 512000, while the sum is 42.

The spelling of 442251540452121 in words is "four hundred forty-two trillion, two hundred fifty-one billion, five hundred forty million, four hundred fifty-two thousand, one hundred twenty-one".