4118763590400 has 432 divisors, whose sum is σ = 14421540962304. Its totient is φ = 1031632650240.

The previous prime is 4118763590377. The next prime is 4118763590453. The reversal of 4118763590400 is 40953678114.

It is a hoax number, since the sum of its digits (48) 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4118763590400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164166657 + ... + 164191743.

It is an arithmetic number, because the mean of its divisors is an integer number (33383196672).

Almost surely, 2^{4118763590400} is an apocalyptic number.

4118763590400 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 4118763590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7210770481152).

4118763590400 is an abundant number, since it is smaller than the sum of its proper divisors (10302777371904).

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

4118763590400 is a wasteful number, since it uses less digits than its factorization.

4118763590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25636 (or 25617 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 4118763590400 in words is "four trillion, one hundred eighteen billion, seven hundred sixty-three million, five hundred ninety thousand, four hundred".