442400506002111 has 16 divisors (see below), whose sum is σ = 591496482057728. Its totient is φ = 294119159745600.

The previous prime is 442400506002107. The next prime is 442400506002139. The reversal of 442400506002111 is 111200605004244.

It is not a de Polignac number, because 442400506002111 - 2² = 442400506002107 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442400506000111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22411131 + ... + 37243251.

It is an arithmetic number, because the mean of its divisors is an integer number (36968530128608).

Almost surely, 2^{442400506002111} is an apocalyptic number.

442400506002111 is a deficient number, since it is larger than the sum of its proper divisors (149095976055617).

442400506002111 is a wasteful number, since it uses less digits than its factorization.

442400506002111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14859582.

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 442400506002111 in words is "four hundred forty-two trillion, four hundred billion, five hundred six million, two thousand, one hundred eleven".