4291556431680 has 252 divisors, whose sum is σ = 17171152822980. Its totient is φ = 980927152128.

The previous prime is 4291556431661. The next prime is 4291556431693. The reversal of 4291556431680 is 861346551924.

4291556431680 is a `hidden beast` number, since 4 + 2 + 9 + 1 + 556 + 4 + 3 + 1 + 6 + 80 = 666.

4291556431680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2723371269696 + 1568185161984 = 1650264^2 + 1252272^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15064225 + ... + 15346464.

Almost surely, 2^{4291556431680} is an apocalyptic number.

4291556431680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4291556431680 is an abundant number, since it is smaller than the sum of its proper divisors (12879596391300).

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

4291556431680 is a wasteful number, since it uses less digits than its factorization.

4291556431680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30410726 (or 30410706 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 4291556431680 in words is "four trillion, two hundred ninety-one billion, five hundred fifty-six million, four hundred thirty-one thousand, six hundred eighty".