14047538400 has 1152 divisors, whose sum is σ = 62316011520. Its totient is φ = 3023308800.

The previous prime is 14047538359. The next prime is 14047538411. The reversal of 14047538400 is 483574041.

14047538400 is a `hidden beast` number, since 1 + 40 + 47 + 538 + 40 + 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 191 ways as a sum of consecutive naturals, for example, 379663182 + ... + 379663218.

It is an arithmetic number, because the mean of its divisors is an integer number (54093760).

Almost surely, 2^14047538400 is an apocalyptic number.

14047538400 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 14047538400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31158005760).

14047538400 is an abundant number, since it is smaller than the sum of its proper divisors (48268473120).

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

14047538400 is an equidigital number, since it uses as much as digits as its factorization.

14047538400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 14047538400 in words is "fourteen billion, forty-seven million, five hundred thirty-eight thousand, four hundred".