11406835440000 has 7680 divisors, whose sum is σ = 62633450880000. Its totient is φ = 1950842880000.

The previous prime is 11406835439999. The next prime is 11406835440023. The reversal of 11406835440000 is 4453860411.

11406835440000 is a `hidden beast` number, since 1 + 140 + 68 + 3 + 54 + 400 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 600359759991 + ... + 600359760009.

It is an arithmetic number, because the mean of its divisors is an integer number (8155397250).

Almost surely, 2^{11406835440000} is an apocalyptic number.

11406835440000 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 11406835440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31316725440000).

11406835440000 is an abundant number, since it is smaller than the sum of its proper divisors (51226615440000).

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

11406835440000 is a wasteful number, since it uses less digits than its factorization.

11406835440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 11406835440000 in words is "eleven trillion, four hundred six billion, eight hundred thirty-five million, four hundred forty thousand".