4118008186560 has 448 divisors, whose sum is σ = 14300539490304. Its totient is φ = 999486259200.

The previous prime is 4118008186553. The next prime is 4118008186571. The reversal of 4118008186560 is 656818008114.

4118008186560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1199534604 + ... + 1199538036.

Almost surely, 2^{4118008186560} is an apocalyptic number.

4118008186560 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 4118008186560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7150269745152).

4118008186560 is an abundant number, since it is smaller than the sum of its proper divisors (10182531303744).

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

4118008186560 is a wasteful number, since it uses less digits than its factorization.

4118008186560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5872 (or 5862 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 48.

The spelling of 4118008186560 in words is "four trillion, one hundred eighteen billion, eight million, one hundred eighty-six thousand, five hundred sixty".