14361437440 has 180 divisors, whose sum is σ = 40139685684. Its totient is φ = 4922867712.

The previous prime is 14361437399. The next prime is 14361437459. The reversal of 14361437440 is 4473416341.

It can be written as a sum of positive squares in 2 ways, for example, as 10228490496 + 4132946944 = 101136^2 + 64288^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14361437440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3070944 + ... + 3075616.

Almost surely, 2^14361437440 is an apocalyptic number.

14361437440 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 14361437440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20069842842).

14361437440 is an abundant number, since it is smaller than the sum of its proper divisors (25778248244).

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

14361437440 is an frugal number, since it uses more digits than its factorization.

14361437440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4722 (or 4687 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The spelling of 14361437440 in words is "fourteen billion, three hundred sixty-one million, four hundred thirty-seven thousand, four hundred forty".