11131817040 has 400 divisors, whose sum is σ = 41102257680. Its totient is φ = 2786918400.

The previous prime is 11131817017. The next prime is 11131817089. The reversal of 11131817040 is 4071813111.

It can be written as a sum of positive squares in 8 ways, for example, as 2908229184 + 8223587856 = 53928^2 + 90684^2 .

It is a super-2 number, since 2×11131817040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11131816995 and 11131817013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6952240 + ... + 6953840.

Almost surely, 2^11131817040 is an apocalyptic number.

11131817040 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 11131817040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20551128840).

11131817040 is an abundant number, since it is smaller than the sum of its proper divisors (29970440640).

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

11131817040 is a wasteful number, since it uses less digits than its factorization.

11131817040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The spelling of 11131817040 in words is "eleven billion, one hundred thirty-one million, eight hundred seventeen thousand, forty".