4004534564520 has 128 divisors (see below), whose sum is σ = 14452455628800. Its totient is φ = 867147330816.

The previous prime is 4004534564491. The next prime is 4004534564579. The reversal of 4004534564520 is 254654354004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125439384 + ... + 125471303.

It is an arithmetic number, because the mean of its divisors is an integer number (112909809600).

Almost surely, 2^{4004534564520} is an apocalyptic number.

4004534564520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004534564520 is an abundant number, since it is smaller than the sum of its proper divisors (10447921064280).

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

4004534564520 is a wasteful number, since it uses less digits than its factorization.

4004534564520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250910727 (or 250910723 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 42.

The spelling of 4004534564520 in words is "four trillion, four billion, five hundred thirty-four million, five hundred sixty-four thousand, five hundred twenty".