4956080040 has 128 divisors (see below), whose sum is σ = 17492112000. Its totient is φ = 1243874304.

The previous prime is 4956080039. The next prime is 4956080069. The reversal of 4956080040 is 400806594.

4956080040 is a `hidden beast` number, since 4 + 9 + 5 + 608 + 0 + 0 + 40 = 666.

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 = 4956079977 and 4956080004.

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, 116610 + ... + 153329.

It is an arithmetic number, because the mean of its divisors is an integer number (136657125).

Almost surely, 2^4956080040 is an apocalyptic number.

4956080040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4956080040 is an abundant number, since it is smaller than the sum of its proper divisors (12536031960).

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

4956080040 is a wasteful number, since it uses less digits than its factorization.

4956080040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269976 (or 269966 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4956080040 is about 70399.4320999822. The cubic root of 4956080040 is about 1704.9544097911.

It can be divided in two parts, 49560 and 80040, that added together give a square (129600 = 360²).

The spelling of 4956080040 in words is "four billion, nine hundred fifty-six million, eighty thousand, forty".