27134807040 has 1056 divisors, whose sum is σ = 112568361984. Its totient is φ = 5969018880.

The previous prime is 27134807017. The next prime is 27134807069. The reversal of 27134807040 is 4070843172.

It is a happy number.

27134807040 is a `hidden beast` number, since 2 + 71 + 3 + 480 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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 = 27134806986 and 27134807004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 404997087 + ... + 404997153.

Almost surely, 2^27134807040 is an apocalyptic number.

27134807040 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 27134807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56284180992).

27134807040 is an abundant number, since it is smaller than the sum of its proper divisors (85433554944).

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

27134807040 is a wasteful number, since it uses less digits than its factorization.

27134807040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 27134807040 in words is "twenty-seven billion, one hundred thirty-four million, eight hundred seven thousand, forty".