1440225230400 has 2688 divisors, whose sum is σ = 6426514391040. Its totient is φ = 313528320000.

The previous prime is 1440225230273. The next prime is 1440225230407. The reversal of 1440225230400 is 40325220441.

1440225230400 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 2 + 25 + 230 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1440225230407) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 20284862365 + ... + 20284862435.

Almost surely, 2^{1440225230400} is an apocalyptic number.

1440225230400 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 1440225230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3213257195520).

1440225230400 is an abundant number, since it is smaller than the sum of its proper divisors (4986289160640).

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

1440225230400 is a wasteful number, since it uses less digits than its factorization.

1440225230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The spelling of 1440225230400 in words is "one trillion, four hundred forty billion, two hundred twenty-five million, two hundred thirty thousand, four hundred".