27407174040 has 128 divisors (see below), whose sum is σ = 92077056000. Its totient is φ = 7250995584.

The previous prime is 27407173939. The next prime is 27407174057. The reversal of 27407174040 is 4047170472.

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 = 27407173986 and 27407174004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37251 + ... + 237069.

It is an arithmetic number, because the mean of its divisors is an integer number (719352000).

Almost surely, 2^27407174040 is an apocalyptic number.

27407174040 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 27407174040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46038528000).

27407174040 is an abundant number, since it is smaller than the sum of its proper divisors (64669881960).

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

27407174040 is a wasteful number, since it uses less digits than its factorization.

27407174040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199966 (or 199956 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 36.

The spelling of 27407174040 in words is "twenty-seven billion, four hundred seven million, one hundred seventy-four thousand, forty".