4120481664 has 320 divisors, whose sum is σ = 13909434000. Its totient is φ = 1200365568.

The previous prime is 4120481647. The next prime is 4120481693. The reversal of 4120481664 is 4661840214.

It is a happy number.

4120481664 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2560092 + ... + 2561700.

Almost surely, 2^4120481664 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 4120481664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6954717000).

4120481664 is an abundant number, since it is smaller than the sum of its proper divisors (9788952336).

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

4120481664 is a wasteful number, since it uses less digits than its factorization.

4120481664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4120481664 is about 64190.9780576679. The cubic root of 4120481664 is about 1603.1813867106.

The spelling of 4120481664 in words is "four billion, one hundred twenty million, four hundred eighty-one thousand, six hundred sixty-four".