11490727040 has 256 divisors, whose sum is σ = 31605124320. Its totient is φ = 3957325824.

The previous prime is 11490727019. The next prime is 11490727099. The reversal of 11490727040 is 4072709411.

It can be written as a sum of positive squares in 16 ways, for example, as 1549839424 + 9940887616 = 39368^2 + 99704^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19376984 + ... + 19377576.

Almost surely, 2^11490727040 is an apocalyptic number.

11490727040 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 11490727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15802562160).

11490727040 is an abundant number, since it is smaller than the sum of its proper divisors (20114397280).

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

11490727040 is a wasteful number, since it uses less digits than its factorization.

11490727040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The spelling of 11490727040 in words is "eleven billion, four hundred ninety million, seven hundred twenty-seven thousand, forty".