1132317407760 has 640 divisors, whose sum is σ = 4649873817600. Its totient is φ = 220812687360.

The previous prime is 1132317407747. The next prime is 1132317407777. The reversal of 1132317407760 is 677047132311.

It is a super-2 number, since 2×1132317407760² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37554771 + ... + 37584909.

It is an arithmetic number, because the mean of its divisors is an integer number (7265427840).

Almost surely, 2^{1132317407760} is an apocalyptic number.

1132317407760 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 1132317407760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324936908800).

1132317407760 is an abundant number, since it is smaller than the sum of its proper divisors (3517556409840).

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

1132317407760 is a wasteful number, since it uses less digits than its factorization.

1132317407760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30299 (or 30293 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The spelling of 1132317407760 in words is "one trillion, one hundred thirty-two billion, three hundred seventeen million, four hundred seven thousand, seven hundred sixty".