4118976960 has 448 divisors, whose sum is σ = 15484815360. Its totient is φ = 908328960.

The previous prime is 4118976949. The next prime is 4118976977. The reversal of 4118976960 is 696798114.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×4118976960³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42463632 + ... + 42463728.

It is an arithmetic number, because the mean of its divisors is an integer number (34564320).

Almost surely, 2^4118976960 is an apocalyptic number.

4118976960 is a gapful number since it is divisible by the number (40) 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 4118976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7742407680).

4118976960 is an abundant number, since it is smaller than the sum of its proper divisors (11365838400).

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

4118976960 is a wasteful number, since it uses less digits than its factorization.

4118976960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The square root of 4118976960 is about 64179.2564618818. The cubic root of 4118976960 is about 1602.9862147751.

The spelling of 4118976960 in words is "four billion, one hundred eighteen million, nine hundred seventy-six thousand, nine hundred sixty".