4118683476960 has 1152 divisors, whose sum is σ = 16167550928256. Its totient is φ = 983702568960.

The previous prime is 4118683476953. The next prime is 4118683476967. The reversal of 4118683476960 is 696743868114.

It is a happy number.

4118683476960 is a `hidden beast` number, since 4 + 1 + 1 + 86 + 83 + 476 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4118683476953) and next prime (4118683476967).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4118683476967) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4828467894 + ... + 4828468746.

It is an arithmetic number, because the mean of its divisors is an integer number (14034332403).

Almost surely, 2^{4118683476960} is an apocalyptic number.

4118683476960 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 4118683476960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8083775464128).

4118683476960 is an abundant number, since it is smaller than the sum of its proper divisors (12048867451296).

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

4118683476960 is a wasteful number, since it uses less digits than its factorization.

4118683476960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 4118683476960 in words is "four trillion, one hundred eighteen billion, six hundred eighty-three million, four hundred seventy-six thousand, nine hundred sixty".