1079360886240 has 960 divisors, whose sum is σ = 4699094311296. Its totient is φ = 227209494528.

The previous prime is 1079360886239. The next prime is 1079360886271. The reversal of 1079360886240 is 426880639701.

1079360886240 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 3 + 6 + 0 + 8 + 8 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 722946934 + ... + 722948426.

Almost surely, 2^{1079360886240} is an apocalyptic number.

1079360886240 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 1079360886240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349547155648).

1079360886240 is an abundant number, since it is smaller than the sum of its proper divisors (3619733425056).

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

1079360886240 is a wasteful number, since it uses less digits than its factorization.

1079360886240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2153 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 1079360886240 in words is "one trillion, seventy-nine billion, three hundred sixty million, eight hundred eighty-six thousand, two hundred forty".