4055120496 has 200 divisors, whose sum is σ = 13487395680. Its totient is φ = 1152216576.

The previous prime is 4055120479. The next prime is 4055120507. The reversal of 4055120496 is 6940215504.

4055120496 is a `hidden beast` number, since 40 + 5 + 5 + 120 + 496 = 666.

4055120496 is digitally balanced in base 2, because in such base 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 self number, because there is not a number n which added to its sum of digits gives 4055120496.

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, 1786050 + ... + 1788318.

Almost surely, 2^4055120496 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 4055120496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6743697840).

4055120496 is an abundant number, since it is smaller than the sum of its proper divisors (9432275184).

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

4055120496 is a wasteful number, since it uses less digits than its factorization.

4055120496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2493 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 4055120496 is about 63679.8280148431. The cubic root of 4055120496 is about 1594.6593411029.

The spelling of 4055120496 in words is "four billion, fifty-five million, one hundred twenty thousand, four hundred ninety-six".