14400555840 has 560 divisors, whose sum is σ = 59189258304. Its totient is φ = 3284582400.

The previous prime is 14400555833. The next prime is 14400555919. The reversal of 14400555840 is 4855500441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14400555795 and 14400555804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4845555 + ... + 4848525.

Almost surely, 2^14400555840 is an apocalyptic number.

14400555840 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 14400555840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29594629152).

14400555840 is an abundant number, since it is smaller than the sum of its proper divisors (44788702464).

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

14400555840 is a wasteful number, since it uses less digits than its factorization.

14400555840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3028 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 14400555840 in words is "fourteen billion, four hundred million, five hundred fifty-five thousand, eight hundred forty".