4185604486560 has 96 divisors (see below), whose sum is σ = 15068176163712. Its totient is φ = 956709596160.

The previous prime is 4185604486543. The next prime is 4185604486603. The reversal of 4185604486560 is 656844065814.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4185604486560² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4185604486560.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 622854451 + ... + 622861170.

It is an arithmetic number, because the mean of its divisors is an integer number (156960168372).

Almost surely, 2^{4185604486560} is an apocalyptic number.

4185604486560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4185604486560 is an abundant number, since it is smaller than the sum of its proper divisors (10882571677152).

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

4185604486560 is a wasteful number, since it uses less digits than its factorization.

4185604486560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245715646 (or 1245715638 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 57.

The spelling of 4185604486560 in words is "four trillion, one hundred eighty-five billion, six hundred four million, four hundred eighty-six thousand, five hundred sixty".