27401541640 has 128 divisors (see below), whose sum is σ = 68317603200. Its totient is φ = 9808404480.

The previous prime is 27401541617. The next prime is 27401541677. The reversal of 27401541640 is 4614510472.

It is a junction number, because it is equal to n+sod(n) for n = 27401541596 and 27401541605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8406331 + ... + 8409589.

It is an arithmetic number, because the mean of its divisors is an integer number (533731275).

Almost surely, 2^27401541640 is an apocalyptic number.

27401541640 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 27401541640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34158801600).

27401541640 is an abundant number, since it is smaller than the sum of its proper divisors (40916061560).

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

27401541640 is a wasteful number, since it uses less digits than its factorization.

27401541640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3575 (or 3571 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The spelling of 27401541640 in words is "twenty-seven billion, four hundred one million, five hundred forty-one thousand, six hundred forty".