4456561508840 has 64 divisors (see below), whose sum is σ = 11470119989760. Its totient is φ = 1526578560000.

The previous prime is 4456561508831. The next prime is 4456561508843. The reversal of 4456561508840 is 488051656544.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (4456561508843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6906161 + ... + 7523840.

It is an arithmetic number, because the mean of its divisors is an integer number (179220624840).

Almost surely, 2^{4456561508840} is an apocalyptic number.

4456561508840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4456561508840 is an abundant number, since it is smaller than the sum of its proper divisors (7013558480920).

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

4456561508840 is a wasteful number, since it uses less digits than its factorization.

4456561508840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14431122 (or 14431118 counting only the distinct ones).

The product of its (nonzero) digits is 18432000, while the sum is 56.

The spelling of 4456561508840 in words is "four trillion, four hundred fifty-six billion, five hundred sixty-one million, five hundred eight thousand, eight hundred forty".