4120188864 has 112 divisors (see below), whose sum is σ = 11986784256. Its totient is φ = 1238630400.

The previous prime is 4120188857. The next prime is 4120188899. The reversal of 4120188864 is 4688810214.

4120188864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4120188864² = 33951912550059220992, which contains 22 as substring.

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, 260544 + ... + 275904.

Almost surely, 2^4120188864 is an apocalyptic number.

4120188864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4120188864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5993392128).

4120188864 is an abundant number, since it is smaller than the sum of its proper divisors (7866595392).

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

4120188864 is a wasteful number, since it uses less digits than its factorization.

4120188864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15514 (or 15504 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The square root of 4120188864 is about 64188.6973228153. The cubic root of 4120188864 is about 1603.1434119731.

The spelling of 4120188864 in words is "four billion, one hundred twenty million, one hundred eighty-eight thousand, eight hundred sixty-four".