27485442240 has 224 divisors, whose sum is σ = 94655542464. Its totient is φ = 6729891840.

The previous prime is 27485442217. The next prime is 27485442247. The reversal of 27485442240 is 4224458472.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 27485442192 and 27485442201.

It is not an unprimeable number, because it can be changed into a prime (27485442247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 648582 + ... + 689658.

It is an arithmetic number, because the mean of its divisors is an integer number (422569386).

Almost surely, 2^27485442240 is an apocalyptic number.

27485442240 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 27485442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47327771232).

27485442240 is an abundant number, since it is smaller than the sum of its proper divisors (67170100224).

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

27485442240 is a wasteful number, since it uses less digits than its factorization.

27485442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41155 (or 41145 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 42.

The spelling of 27485442240 in words is "twenty-seven billion, four hundred eighty-five million, four hundred forty-two thousand, two hundred forty".