27316224040 has 192 divisors, whose sum is σ = 74656890000. Its totient is φ = 8957620224.

The previous prime is 27316224037. The next prime is 27316224041. The reversal of 27316224040 is 4042261372.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8055780516 + 19260443524 = 89754^2 + 138782^2 .

It is a junction number, because it is equal to n+sod(n) for n = 27316223993 and 27316224011.

It is not an unprimeable number, because it can be changed into a prime (27316224041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6193356 + ... + 6197764.

Almost surely, 2^27316224040 is an apocalyptic number.

27316224040 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 27316224040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37328445000).

27316224040 is an abundant number, since it is smaller than the sum of its proper divisors (47340665960).

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

27316224040 is a wasteful number, since it uses less digits than its factorization.

27316224040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4572 (or 4561 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The spelling of 27316224040 in words is "twenty-seven billion, three hundred sixteen million, two hundred twenty-four thousand, forty".