11130734454840 has 768 divisors, whose sum is σ = 48861582981120. Its totient is φ = 2122170347520.

The previous prime is 11130734454823. The next prime is 11130734454863. The reversal of 11130734454840 is 4845443703111.

11130734454840 is a `hidden beast` number, since 1 + 1 + 1 + 30 + 7 + 34 + 4 + 548 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 60087642 + ... + 60272598.

It is an arithmetic number, because the mean of its divisors is an integer number (63621852840).

Almost surely, 2^{11130734454840} is an apocalyptic number.

11130734454840 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 11130734454840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24430791490560).

11130734454840 is an abundant number, since it is smaller than the sum of its proper divisors (37730848526280).

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

11130734454840 is a wasteful number, since it uses less digits than its factorization.

11130734454840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185172 (or 185165 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 11130734454840 in words is "eleven trillion, one hundred thirty billion, seven hundred thirty-four million, four hundred fifty-four thousand, eight hundred forty".