1079406900720 has 400 divisors, whose sum is σ = 3803477990400. Its totient is φ = 283682539008.

The previous prime is 1079406900703. The next prime is 1079406900743. The reversal of 1079406900720 is 270096049701.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 137974729 + ... + 137982551.

It is an arithmetic number, because the mean of its divisors is an integer number (9508694976).

Almost surely, 2^{1079406900720} is an apocalyptic number.

1079406900720 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 1079406900720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901738995200).

1079406900720 is an abundant number, since it is smaller than the sum of its proper divisors (2724071089680).

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

1079406900720 is a wasteful number, since it uses less digits than its factorization.

1079406900720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8154 (or 8139 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 1079406900720 in words is "one trillion, seventy-nine billion, four hundred six million, nine hundred thousand, seven hundred twenty".