11486091240 has 384 divisors, whose sum is σ = 41639270400. Its totient is φ = 2728028160.

The previous prime is 11486091209. The next prime is 11486091251. The reversal of 11486091240 is 4219068411.

11486091240 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 609 + 1 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11486091195 and 11486091204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17376510 + ... + 17377170.

It is an arithmetic number, because the mean of its divisors is an integer number (108435600).

Almost surely, 2^11486091240 is an apocalyptic number.

11486091240 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 11486091240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20819635200).

11486091240 is an abundant number, since it is smaller than the sum of its proper divisors (30153179160).

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

11486091240 is a wasteful number, since it uses less digits than its factorization.

11486091240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 11486091240 in words is "eleven billion, four hundred eighty-six million, ninety-one thousand, two hundred forty".