4564131831840 has 192 divisors, whose sum is σ = 16560253108224. Its totient is φ = 1035015625728.

The previous prime is 4564131831811. The next prime is 4564131831881. The reversal of 4564131831840 is 481381314654.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4564131831840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4921204 + ... + 5774643.

It is an arithmetic number, because the mean of its divisors is an integer number (86251318272).

Almost surely, 2^{4564131831840} is an apocalyptic number.

4564131831840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4564131831840 is an abundant number, since it is smaller than the sum of its proper divisors (11996121276384).

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

4564131831840 is a wasteful number, since it uses less digits than its factorization.

4564131831840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10695999 (or 10695991 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 4564131831840 in words is "four trillion, five hundred sixty-four billion, one hundred thirty-one million, eight hundred thirty-one thousand, eight hundred forty".