11404076484528 has 960 divisors, whose sum is σ = 40447777843200. Its totient is φ = 2937374668800.

The previous prime is 11404076484509. The next prime is 11404076484557. The reversal of 11404076484528 is 82548467040411.

11404076484528 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 4 + 0 + 76 + 48 + 4 + 528 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22404865138 + ... + 22404865646.

It is an arithmetic number, because the mean of its divisors is an integer number (42133101920).

Almost surely, 2^{11404076484528} is an apocalyptic number.

11404076484528 is a gapful number since it is divisible by the number (18) 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 11404076484528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20223888921600).

11404076484528 is an abundant number, since it is smaller than the sum of its proper divisors (29043701358672).

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

11404076484528 is a wasteful number, since it uses less digits than its factorization.

11404076484528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 11404076484528 in words is "eleven trillion, four hundred four billion, seventy-six million, four hundred eighty-four thousand, five hundred twenty-eight".