1440538214400 has 1080 divisors, whose sum is σ = 5497336366704. Its totient is φ = 373712486400.

The previous prime is 1440538214351. The next prime is 1440538214443. The reversal of 1440538214400 is 44128350441.

1440538214400 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 5 + 38 + 214 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4080844624 + ... + 4080844976.

Almost surely, 2^{1440538214400} is an apocalyptic number.

1440538214400 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 1440538214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748668183352).

1440538214400 is an abundant number, since it is smaller than the sum of its proper divisors (4056798152304).

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

1440538214400 is an frugal number, since it uses more digits than its factorization.

1440538214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 1440538214400 in words is "one trillion, four hundred forty billion, five hundred thirty-eight million, two hundred fourteen thousand, four hundred".