4113840960 has 280 divisors, whose sum is σ = 14978030496. Its totient is φ = 1071221760.

The previous prime is 4113840947. The next prime is 4113840961. The reversal of 4113840960 is 690483114.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4113840961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1112715 + ... + 1116405.

Almost surely, 2^4113840960 is an apocalyptic number.

4113840960 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 4113840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7489015248).

4113840960 is an abundant number, since it is smaller than the sum of its proper divisors (10864189536).

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

4113840960 is a wasteful number, since it uses less digits than its factorization.

4113840960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3763 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4113840960 is about 64139.2310524534. The cubic root of 4113840960 is about 1602.3196769781.

The spelling of 4113840960 in words is "four billion, one hundred thirteen million, eight hundred forty thousand, nine hundred sixty".