27141446400256 has 72 divisors (see below), whose sum is σ = 54752245853760. Its totient is φ = 13426836043776.

The previous prime is 27141446400203. The next prime is 27141446400349. The reversal of 27141446400256 is 65200464414172.

It is a super-2 number, since 2×27141446400256² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28778031 + ... + 29706193.

It is an arithmetic number, because the mean of its divisors is an integer number (760447859080).

Almost surely, 2^{27141446400256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27141446400256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27376122926880).

27141446400256 is an abundant number, since it is smaller than the sum of its proper divisors (27610799453504).

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

27141446400256 is a wasteful number, since it uses less digits than its factorization.

27141446400256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929391 (or 929377 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 46.

The spelling of 27141446400256 in words is "twenty-seven trillion, one hundred forty-one billion, four hundred forty-six million, four hundred thousand, two hundred fifty-six".