1039944165876 has 1152 divisors, whose sum is σ = 3786028646400. Its totient is φ = 242984448000.

The previous prime is 1039944165839. The next prime is 1039944165899. The reversal of 1039944165876 is 6785614499301.

1039944165876 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 9 + 4 + 41 + 6 + 587 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3343871761 + ... + 3343872071.

It is an arithmetic number, because the mean of its divisors is an integer number (3286483200).

Almost surely, 2^{1039944165876} 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 1039944165876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893014323200).

1039944165876 is an abundant number, since it is smaller than the sum of its proper divisors (2746084480524).

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

1039944165876 is a wasteful number, since it uses less digits than its factorization.

1039944165876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 1039944165876 in words is "one trillion, thirty-nine billion, nine hundred forty-four million, one hundred sixty-five thousand, eight hundred seventy-six".