442431100010407 has 2 divisors, whose sum is σ = 442431100010408. Its totient is φ = 442431100010406.

The previous prime is 442431100010299. The next prime is 442431100010461. The reversal of 442431100010407 is 704010001134244.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 442431100010407 - 2⁷ = 442431100010279 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (442431100010477) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 221215550005203 + 221215550005204.

It is an arithmetic number, because the mean of its divisors is an integer number (221215550005204).

Almost surely, 2^{442431100010407} is an apocalyptic number.

442431100010407 is a deficient number, since it is larger than the sum of its proper divisors (1).

442431100010407 is an equidigital number, since it uses as much as digits as its factorization.

442431100010407 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10752, while the sum is 31.

The spelling of 442431100010407 in words is "four hundred forty-two trillion, four hundred thirty-one billion, one hundred million, ten thousand, four hundred seven".