4290118976 has 224 divisors, whose sum is σ = 10599724800. Its totient is φ = 1695006720.

The previous prime is 4290118939. The next prime is 4290119011. The reversal of 4290118976 is 6798110924.

4290118976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4290118976.

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, 18734030 + ... + 18734258.

It is an arithmetic number, because the mean of its divisors is an integer number (47320200).

Almost surely, 2^4290118976 is an apocalyptic number.

4290118976 is a gapful number since it is divisible by the number (46) 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 4290118976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5299862400).

4290118976 is an abundant number, since it is smaller than the sum of its proper divisors (6309605824).

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

4290118976 is a wasteful number, since it uses less digits than its factorization.

4290118976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 47.

The square root of 4290118976 is about 65498.9998091574. Note that the first 3 decimals coincide. The cubic root of 4290118976 is about 1624.8868056537.

The spelling of 4290118976 in words is "four billion, two hundred ninety million, one hundred eighteen thousand, nine hundred seventy-six".