1045880709120 has 1344 divisors, whose sum is σ = 4147672314240. Its totient is φ = 251236712448.

The previous prime is 1045880709113. The next prime is 1045880709143. The reversal of 1045880709120 is 219070885401.

1045880709120 is a `hidden beast` number, since 1 + 0 + 458 + 8 + 0 + 70 + 9 + 120 = 666.

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 95 ways as a sum of consecutive naturals, for example, 7634165692 + ... + 7634165828.

It is an arithmetic number, because the mean of its divisors is an integer number (3086065710).

Almost surely, 2^{1045880709120} is an apocalyptic number.

1045880709120 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 1045880709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073836157120).

1045880709120 is an abundant number, since it is smaller than the sum of its proper divisors (3101791605120).

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

1045880709120 is an equidigital number, since it uses as much as digits as its factorization.

1045880709120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 1045880709120 in words is "one trillion, forty-five billion, eight hundred eighty million, seven hundred nine thousand, one hundred twenty".