407082142180 has 36 divisors (see below), whose sum is σ = 994443521148. Its totient is φ = 139571019840.

The previous prime is 407082142139. The next prime is 407082142213. The reversal of 407082142180 is 81241280704.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 89123743296 + 317958398884 = 298536^2 + 563878^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 207693991 + ... + 207695950.

It is an arithmetic number, because the mean of its divisors is an integer number (27623431143).

Almost surely, 2^407082142180 is an apocalyptic number.

It is an amenable number.

407082142180 is an abundant number, since it is smaller than the sum of its proper divisors (587361378968).

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

407082142180 is a wasteful number, since it uses less digits than its factorization.

407082142180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415389964 (or 415389955 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 37.

The spelling of 407082142180 in words is "four hundred seven billion, eighty-two million, one hundred forty-two thousand, one hundred eighty".