27407117440 has 32 divisors (see below), whose sum is σ = 65520141660. Its totient is φ = 10962846720.

The previous prime is 27407117431. The next prime is 27407117459. The reversal of 27407117440 is 4471170472.

It can be written as a sum of positive squares in 2 ways, for example, as 25296266304 + 2110851136 = 159048^2 + 45944^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 27407117440.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21411171 + ... + 21412450.

Almost surely, 2^27407117440 is an apocalyptic number.

27407117440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27407117440 is an abundant number, since it is smaller than the sum of its proper divisors (38113024220).

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

27407117440 is an equidigital number, since it uses as much as digits as its factorization.

27407117440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42823640 (or 42823628 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 37.

The spelling of 27407117440 in words is "twenty-seven billion, four hundred seven million, one hundred seventeen thousand, four hundred forty".