1440399218400 has 432 divisors, whose sum is σ = 5319550808208. Its totient is φ = 380298240000.

The previous prime is 1440399218389. The next prime is 1440399218429. The reversal of 1440399218400 is 48129930441.

1440399218400 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 399 + 218 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 19597720 + ... + 19671080.

It is an arithmetic number, because the mean of its divisors is an integer number (12313775019).

Almost surely, 2^{1440399218400} is an apocalyptic number.

1440399218400 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 1440399218400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659775404104).

1440399218400 is an abundant number, since it is smaller than the sum of its proper divisors (3879151589808).

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

1440399218400 is a wasteful number, since it uses less digits than its factorization.

1440399218400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73497 (or 73472 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1440399218400 in words is "one trillion, four hundred forty billion, three hundred ninety-nine million, two hundred eighteen thousand, four hundred".