14272175474400 has 288 divisors, whose sum is σ = 46658357424000. Its totient is φ = 3789362534400.

The previous prime is 14272175474387. The next prime is 14272175474423. The reversal of 14272175474400 is 447457127241.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 14272175474400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 578769271 + ... + 578793929.

It is an arithmetic number, because the mean of its divisors is an integer number (162008185500).

Almost surely, 2^{14272175474400} is an apocalyptic number.

14272175474400 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 14272175474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23329178712000).

14272175474400 is an abundant number, since it is smaller than the sum of its proper divisors (32386181949600).

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

14272175474400 is a wasteful number, since it uses less digits than its factorization.

14272175474400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25722 (or 25709 counting only the distinct ones).

The product of its (nonzero) digits is 1756160, while the sum is 48.

The spelling of 14272175474400 in words is "fourteen trillion, two hundred seventy-two billion, one hundred seventy-five million, four hundred seventy-four thousand, four hundred".