27230441185440 has 960 divisors, whose sum is σ = 100524425379840. Its totient is φ = 6936343787520.

The previous prime is 27230441185411. The next prime is 27230441185447. The reversal of 27230441185440 is 4458114403272.

27230441185440 is a `hidden beast` number, since 2 + 7 + 23 + 0 + 4 + 4 + 1 + 185 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (27230441185447) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5024991051 + ... + 5024996469.

It is an arithmetic number, because the mean of its divisors is an integer number (104712943104).

Almost surely, 2^{27230441185440} is an apocalyptic number.

27230441185440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27230441185440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50262212689920).

27230441185440 is an abundant number, since it is smaller than the sum of its proper divisors (73293984194400).

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

27230441185440 is a wasteful number, since it uses less digits than its factorization.

27230441185440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5687 (or 5670 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 27230441185440 in words is "twenty-seven trillion, two hundred thirty billion, four hundred forty-one million, one hundred eighty-five thousand, four hundred forty".