14444257400 has 96 divisors (see below), whose sum is σ = 35646356880. Its totient is φ = 5424384000.

The previous prime is 14444257367. The next prime is 14444257433. The reversal of 14444257400 is 475244441.

It is an interprime number because it is at equal distance from previous prime (14444257367) and next prime (14444257433).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1426355 + ... + 1436445.

Almost surely, 2^14444257400 is an apocalyptic number.

14444257400 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 14444257400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17823178440).

14444257400 is an abundant number, since it is smaller than the sum of its proper divisors (21202099480).

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

14444257400 is a wasteful number, since it uses less digits than its factorization.

14444257400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10545 (or 10536 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 35.

The spelling of 14444257400 in words is "fourteen billion, four hundred forty-four million, two hundred fifty-seven thousand, four hundred".