5405140656 has 180 divisors, whose sum is σ = 15799066920. Its totient is φ = 1724889600.

The previous prime is 5405140619. The next prime is 5405140661. The reversal of 5405140656 is 6560415045.

5405140656 is a `hidden beast` number, since 540 + 51 + 4 + 0 + 65 + 6 = 666.

It is a super-2 number, since 2×5405140656² = 58431091022288220672, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5405140656.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19235236 + ... + 19235516.

It is an arithmetic number, because the mean of its divisors is an integer number (87772594).

Almost surely, 2^5405140656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5405140656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7899533460).

5405140656 is an abundant number, since it is smaller than the sum of its proper divisors (10393926264).

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

5405140656 is a wasteful number, since it uses less digits than its factorization.

5405140656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5405140656 is about 73519.6616967189. The cubic root of 5405140656 is about 1754.9671837437.

The spelling of 5405140656 in words is "five billion, four hundred five million, one hundred forty thousand, six hundred fifty-six".