4118460864 has 168 divisors, whose sum is σ = 12638763648. Its totient is φ = 1159441920.

The previous prime is 4118460859. The next prime is 4118460883. The reversal of 4118460864 is 4680648114.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8387659 + ... + 8388149.

It is an arithmetic number, because the mean of its divisors is an integer number (75230736).

Almost surely, 2^4118460864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4118460864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6319381824).

4118460864 is an abundant number, since it is smaller than the sum of its proper divisors (8520302784).

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

4118460864 is an equidigital number, since it uses as much as digits as its factorization.

4118460864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 4118460864 is about 64175.2355975418. The cubic root of 4118460864 is about 1602.9192621202.

The spelling of 4118460864 in words is "four billion, one hundred eighteen million, four hundred sixty thousand, eight hundred sixty-four".