11490413760 has 840 divisors, whose sum is σ = 48560949360. Its totient is φ = 2570932224.

The previous prime is 11490413749. The next prime is 11490413819. The reversal of 11490413760 is 6731409411.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 105416586 + ... + 105416694.

It is an arithmetic number, because the mean of its divisors is an integer number (57810654).

Almost surely, 2^11490413760 is an apocalyptic number.

11490413760 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 11490413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24280474680).

11490413760 is an abundant number, since it is smaller than the sum of its proper divisors (37070535600).

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

11490413760 is a wasteful number, since it uses less digits than its factorization.

11490413760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 11490413760 in words is "eleven billion, four hundred ninety million, four hundred thirteen thousand, seven hundred sixty".