1046120076144 has 360 divisors, whose sum is σ = 3647986531280. Its totient is φ = 277218754560.

The previous prime is 1046120076047. The next prime is 1046120076187. The reversal of 1046120076144 is 4416700216401.

It is a happy number.

1046120076144 is a `hidden beast` number, since 10 + 4 + 6 + 1 + 20 + 0 + 7 + 614 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1046120076099 and 1046120076108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4182192 + ... + 4425264.

Almost surely, 2^{1046120076144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1046120076144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823993265640).

1046120076144 is an abundant number, since it is smaller than the sum of its proper divisors (2601866455136).

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

1046120076144 is a wasteful number, since it uses less digits than its factorization.

1046120076144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243141 (or 243121 counting only the distinct ones).

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

The spelling of 1046120076144 in words is "one trillion, forty-six billion, one hundred twenty million, seventy-six thousand, one hundred forty-four".