1079402163840 has 3840 divisors, whose sum is σ = 5471269816320. Its totient is φ = 197074944000.

The previous prime is 1079402163787. The next prime is 1079402163863. The reversal of 1079402163840 is 483612049701.

1079402163840 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 4 + 0 + 2 + 1 + 638 + 4 + 0 = 666.

1079402163840 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1079402163840³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 17695117410 + ... + 17695117470.

It is an arithmetic number, because the mean of its divisors is an integer number (1424809848).

Almost surely, 2^{1079402163840} is an apocalyptic number.

1079402163840 is a gapful number since it is divisible by the number (10) 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 1079402163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2735634908160).

1079402163840 is an abundant number, since it is smaller than the sum of its proper divisors (4391867652480).

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

1079402163840 is a wasteful number, since it uses less digits than its factorization.

1079402163840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1079402163840 in words is "one trillion, seventy-nine billion, four hundred two million, one hundred sixty-three thousand, eight hundred forty".