1079941838976 has 1280 divisors, whose sum is σ = 4569731147520. Its totient is φ = 243656294400.

The previous prime is 1079941838917. The next prime is 1079941839007. The reversal of 1079941838976 is 6798381499701.

1079941838976 is a `hidden beast` number, since 1 + 0 + 7 + 99 + 418 + 38 + 97 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 176429196 + ... + 176435316.

It is an arithmetic number, because the mean of its divisors is an integer number (3570102459).

Almost surely, 2^{1079941838976} is an apocalyptic number.

1079941838976 is a gapful number since it is divisible by the number (16) 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 1079941838976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284865573760).

1079941838976 is an abundant number, since it is smaller than the sum of its proper divisors (3489789308544).

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

1079941838976 is a wasteful number, since it uses less digits than its factorization.

1079941838976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6195 (or 6174 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 72.

The spelling of 1079941838976 in words is "one trillion, seventy-nine billion, nine hundred forty-one million, eight hundred thirty-eight thousand, nine hundred seventy-six".