14406494400 has 252 divisors, whose sum is σ = 51323897352. Its totient is φ = 3832750080.

The previous prime is 14406494387. The next prime is 14406494419. The reversal of 14406494400 is 449460441.

14406494400 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 649 + 4 + 4 + 0 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 8106312 + ... + 8108088.

Almost surely, 2^14406494400 is an apocalyptic number.

14406494400 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 14406494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25661948676).

14406494400 is an abundant number, since it is smaller than the sum of its proper divisors (36917402952).

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

14406494400 is a wasteful number, since it uses less digits than its factorization.

14406494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 14406494400 in words is "fourteen billion, four hundred six million, four hundred ninety-four thousand, four hundred".