1044120267216 has 160 divisors (see below), whose sum is σ = 3417407521920. Its totient is φ = 302369642496.

The previous prime is 1044120267173. The next prime is 1044120267227. The reversal of 1044120267216 is 6127620214401.

1044120267216 is a `hidden beast` number, since 1 + 0 + 4 + 412 + 0 + 26 + 7 + 216 = 666.

It is a super-2 number, since 2×1044120267216² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5372730 + ... + 5563673.

It is an arithmetic number, because the mean of its divisors is an integer number (21358797012).

Almost surely, 2^{1044120267216} is an apocalyptic number.

1044120267216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1044120267216 is an abundant number, since it is smaller than the sum of its proper divisors (2373287254704).

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

1044120267216 is a wasteful number, since it uses less digits than its factorization.

1044120267216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10936450 (or 10936438 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 1044120267216 in words is "one trillion, forty-four billion, one hundred twenty million, two hundred sixty-seven thousand, two hundred sixteen".