1144880593920 has 1320 divisors, whose sum is σ = 4867037661024. Its totient is φ = 256507969536.

The previous prime is 1144880593907. The next prime is 1144880593939. The reversal of 1144880593920 is 293950884411.

It is a happy number.

1144880593920 is a `hidden beast` number, since 1 + 1 + 4 + 48 + 8 + 0 + 593 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×1144880593920² (a number of 25 digits) contains 22 as substring.

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 119 ways as a sum of consecutive naturals, for example, 1077027309 + ... + 1077028371.

Almost surely, 2^{1144880593920} is an apocalyptic number.

1144880593920 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 1144880593920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433518830512).

1144880593920 is an abundant number, since it is smaller than the sum of its proper divisors (3722157067104).

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

1144880593920 is a wasteful number, since it uses less digits than its factorization.

1144880593920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 1144880593920 in words is "one trillion, one hundred forty-four billion, eight hundred eighty million, five hundred ninety-three thousand, nine hundred twenty".