1115183509440 has 672 divisors, whose sum is σ = 4790017344000. Its totient is φ = 213899304960.

The previous prime is 1115183509387. The next prime is 1115183509441. The reversal of 1115183509440 is 449053815111.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1115183509440² (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 a junction number, because it is equal to n+sod(n) for n = 1115183509392 and 1115183509401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1115183509441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10517811 + ... + 10623309.

It is an arithmetic number, because the mean of its divisors is an integer number (7128002000).

Almost surely, 2^{1115183509440} is an apocalyptic number.

1115183509440 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 1115183509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2395008672000).

1115183509440 is an abundant number, since it is smaller than the sum of its proper divisors (3674833834560).

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

1115183509440 is a wasteful number, since it uses less digits than its factorization.

1115183509440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105561 (or 105540 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The spelling of 1115183509440 in words is "one trillion, one hundred fifteen billion, one hundred eighty-three million, five hundred nine thousand, four hundred forty".