14250315400 has 192 divisors, whose sum is σ = 36138758400. Its totient is φ = 5208053760.

The previous prime is 14250315389. The next prime is 14250315421. The reversal of 14250315400 is 451305241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 13037254 + ... + 13038346.

It is an arithmetic number, because the mean of its divisors is an integer number (188222700).

Almost surely, 2^14250315400 is an apocalyptic number.

14250315400 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 14250315400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18069379200).

14250315400 is an abundant number, since it is smaller than the sum of its proper divisors (21888443000).

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

14250315400 is a wasteful number, since it uses less digits than its factorization.

14250315400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 14250315400 in words is "fourteen billion, two hundred fifty million, three hundred fifteen thousand, four hundred".