1131817609440 has 2304 divisors, whose sum is σ = 5068115619840. Its totient is φ = 234519183360.

The previous prime is 1131817609423. The next prime is 1131817609519. The reversal of 1131817609440 is 449067181311.

1131817609440 is a `hidden beast` number, since 1 + 1 + 31 + 8 + 1 + 7 + 609 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×1131817609440² (a number of 25 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 10988520429 + ... + 10988520531.

It is an arithmetic number, because the mean of its divisors is an integer number (2199702960).

Almost surely, 2^{1131817609440} is an apocalyptic number.

1131817609440 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 1131817609440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534057809920).

1131817609440 is an abundant number, since it is smaller than the sum of its proper divisors (3936298010400).

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

1131817609440 is a wasteful number, since it uses less digits than its factorization.

1131817609440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 1131817609440 in words is "one trillion, one hundred thirty-one billion, eight hundred seventeen million, six hundred nine thousand, four hundred forty".