11400049032480 has 960 divisors, whose sum is σ = 43566766645248. Its totient is φ = 2799987886080.

The previous prime is 11400049032377. The next prime is 11400049032511. The reversal of 11400049032480 is 8423094000411.

It is a happy number.

11400049032480 is a `hidden beast` number, since 1 + 1 + 400 + 0 + 4 + 9 + 0 + 3 + 248 + 0 = 666.

It is a super-2 number, since 2×11400049032480² (a number of 27 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 910031977 + ... + 910044503.

Almost surely, 2^{11400049032480} is an apocalyptic number.

11400049032480 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 11400049032480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21783383322624).

11400049032480 is an abundant number, since it is smaller than the sum of its proper divisors (32166717612768).

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

11400049032480 is a wasteful number, since it uses less digits than its factorization.

11400049032480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12691 (or 12674 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 11400049032480 in words is "eleven trillion, four hundred billion, forty-nine million, thirty-two thousand, four hundred eighty".