11406799477440 has 448 divisors, whose sum is σ = 40598884024320. Its totient is φ = 3014783815680.

The previous prime is 11406799477433. The next prime is 11406799477457. The reversal of 11406799477440 is 4477499760411.

11406799477440 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 67 + 99 + 47 + 7 + 440 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1199322285 + ... + 1199331795.

Almost surely, 2^{11406799477440} is an apocalyptic number.

11406799477440 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 11406799477440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20299442012160).

11406799477440 is an abundant number, since it is smaller than the sum of its proper divisors (29192084546880).

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

11406799477440 is a wasteful number, since it uses less digits than its factorization.

11406799477440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10757 (or 10741 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 11406799477440 in words is "eleven trillion, four hundred six billion, seven hundred ninety-nine million, four hundred seventy-seven thousand, four hundred forty".