1800412104960 has 864 divisors, whose sum is σ = 7596947554560. Its totient is φ = 384499187712.

The previous prime is 1800412104871. The next prime is 1800412105003. The reversal of 1800412104960 is 694012140081.

1800412104960 is a `hidden beast` number, since 1 + 80 + 0 + 412 + 104 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111839632 + ... + 111855728.

Almost surely, 2^{1800412104960} is an apocalyptic number.

1800412104960 is a gapful number since it is divisible by the number (10) 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 1800412104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3798473777280).

1800412104960 is an abundant number, since it is smaller than the sum of its proper divisors (5796535449600).

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

1800412104960 is a wasteful number, since it uses less digits than its factorization.

1800412104960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16223 (or 16206 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 1800412104960 in words is "one trillion, eight hundred billion, four hundred twelve million, one hundred four thousand, nine hundred sixty".