1290118404816 has 120 divisors (see below), whose sum is σ = 3752024140800. Its totient is φ = 413373945600.

The previous prime is 1290118404781. The next prime is 1290118404821. The reversal of 1290118404816 is 6184048110921.

1290118404816 is a `hidden beast` number, since 1 + 2 + 90 + 1 + 1 + 84 + 0 + 481 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304680 + ... + 1634951.

It is an arithmetic number, because the mean of its divisors is an integer number (31266867840).

Almost surely, 2^{1290118404816} is an apocalyptic number.

1290118404816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1290118404816 is an abundant number, since it is smaller than the sum of its proper divisors (2461905735984).

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

1290118404816 is a wasteful number, since it uses less digits than its factorization.

1290118404816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1939825 (or 1939816 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 1290118404816 in words is "one trillion, two hundred ninety billion, one hundred eighteen million, four hundred four thousand, eight hundred sixteen".