27921331440 has 120 divisors (see below), whose sum is σ = 98704404240. Its totient is φ = 7053806592.

The previous prime is 27921331397. The next prime is 27921331453. The reversal of 27921331440 is 4413312972.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27921331395 and 27921331404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1006837 + ... + 1034196.

It is an arithmetic number, because the mean of its divisors is an integer number (822536702).

Almost surely, 2^27921331440 is an apocalyptic number.

27921331440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27921331440 is an abundant number, since it is smaller than the sum of its proper divisors (70783072800).

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

27921331440 is a wasteful number, since it uses less digits than its factorization.

27921331440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041071 (or 2041062 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 27921331440 in words is "twenty-seven billion, nine hundred twenty-one million, three hundred thirty-one thousand, four hundred forty".