4118978304 has 288 divisors, whose sum is σ = 14105889280. Its totient is φ = 1175731200.

The previous prime is 4118978293. The next prime is 4118978317. The reversal of 4118978304 is 4038798114.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 4118978304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3918579 + ... + 3919629.

Almost surely, 2^4118978304 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 4118978304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7052944640).

4118978304 is an abundant number, since it is smaller than the sum of its proper divisors (9986910976).

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

4118978304 is an frugal number, since it uses more digits than its factorization.

4118978304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 4118978304 is about 64179.2669325538. The cubic root of 4118978304 is about 1602.9863891237.

The spelling of 4118978304 in words is "four billion, one hundred eighteen million, nine hundred seventy-eight thousand, three hundred four".