4018785103872 has 1638 divisors, whose sum is σ = 15474564357084. Its totient is φ = 1039241871360.

The previous prime is 4018785103841. The next prime is 4018785103891. The reversal of 4018785103872 is 2783015878104.

4018785103872 is a `hidden beast` number, since 4 + 0 + 187 + 85 + 1 + 0 + 387 + 2 = 666.

It is a super-2 number, since 2×4018785103872² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 17703899023 + ... + 17703899249.

Almost surely, 2^{4018785103872} is an apocalyptic number.

4018785103872 is a gapful number since it is divisible by the number (42) 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 4018785103872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7737282178542).

4018785103872 is an abundant number, since it is smaller than the sum of its proper divisors (11455779253212).

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

4018785103872 is an equidigital number, since it uses as much as digits as its factorization.

4018785103872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 4018785103872 in words is "four trillion, eighteen billion, seven hundred eighty-five million, one hundred three thousand, eight hundred seventy-two".