442400002040080 has 40 divisors (see below), whose sum is σ = 1175520005422272. Its totient is φ = 151680000699264.

The previous prime is 442400002039999. The next prime is 442400002040149. The reversal of 442400002040080 is 80040200004244.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 395000001262 + ... + 395000002381.

Almost surely, 2^{442400002040080} is an apocalyptic number.

442400002040080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442400002040080 is an abundant number, since it is smaller than the sum of its proper divisors (733120003382192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

442400002040080 is a wasteful number, since it uses less digits than its factorization.

442400002040080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790000003663 (or 790000003657 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The spelling of 442400002040080 in words is "four hundred forty-two trillion, four hundred billion, two million, forty thousand, eighty".