4164013560 has 64 divisors (see below), whose sum is σ = 14276620800. Its totient is φ = 951774336.

The previous prime is 4164013549. The next prime is 4164013573. The reversal of 4164013560 is 653104614.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 2477740 + ... + 2479419.

It is an arithmetic number, because the mean of its divisors is an integer number (223072200).

Almost surely, 2^4164013560 is an apocalyptic number.

4164013560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4164013560 is an abundant number, since it is smaller than the sum of its proper divisors (10112607240).

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

4164013560 is a wasteful number, since it uses less digits than its factorization.

4164013560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4957180 (or 4957176 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 4164013560 is about 64529.1682884570. The cubic root of 4164013560 is about 1608.8073623161.

The spelling of 4164013560 in words is "four billion, one hundred sixty-four million, thirteen thousand, five hundred sixty".