11416420454400 has 1560 divisors, whose sum is σ = 45835950061440. Its totient is φ = 2792120647680.

The previous prime is 11416420454363. The next prime is 11416420454471. The reversal of 11416420454400 is 445402461411.

11416420454400 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 6 + 4 + 204 + 5 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1560).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 25770700579 + ... + 25770701021.

Almost surely, 2^{11416420454400} is an apocalyptic number.

11416420454400 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 11416420454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22917975030720).

11416420454400 is an abundant number, since it is smaller than the sum of its proper divisors (34419529607040).

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

11416420454400 is a wasteful number, since it uses less digits than its factorization.

11416420454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 11416420454400 in words is "eleven trillion, four hundred sixteen billion, four hundred twenty million, four hundred fifty-four thousand, four hundred".