27040316940 has 768 divisors, whose sum is σ = 108091146240. Its totient is φ = 5460618240.

The previous prime is 27040316929. The next prime is 27040316951. The reversal of 27040316940 is 4961304072.

It is an interprime number because it is at equal distance from previous prime (27040316929) and next prime (27040316951).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27040316895 and 27040316904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 141572245 + ... + 141572435.

It is an arithmetic number, because the mean of its divisors is an integer number (140743680).

Almost surely, 2^27040316940 is an apocalyptic number.

27040316940 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 27040316940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54045573120).

27040316940 is an abundant number, since it is smaller than the sum of its proper divisors (81050829300).

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

27040316940 is a wasteful number, since it uses less digits than its factorization.

27040316940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 27040316940 in words is "twenty-seven billion, forty million, three hundred sixteen thousand, nine hundred forty".