4118869440 has 1008 divisors, whose sum is σ = 18213092352. Its totient is φ = 881362944.

The previous prime is 4118869427. The next prime is 4118869441. The reversal of 4118869440 is 449688114.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4118869441) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 87635497 + ... + 87635543.

It is an arithmetic number, because the mean of its divisors is an integer number (18068544).

Almost surely, 2^4118869440 is an apocalyptic number.

4118869440 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 4118869440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9106546176).

4118869440 is an abundant number, since it is smaller than the sum of its proper divisors (14094222912).

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

4118869440 is a wasteful number, since it uses less digits than its factorization.

4118869440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 4118869440 is about 64178.4188025850. The cubic root of 4118869440 is about 1602.9722667666.

The spelling of 4118869440 in words is "four billion, one hundred eighteen million, eight hundred sixty-nine thousand, four hundred forty".