1144254350400 has 504 divisors, whose sum is σ = 4387910468256. Its totient is φ = 260293017600.

The previous prime is 1144254350389. The next prime is 1144254350411. The reversal of 1144254350400 is 40534524411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1144254350389) and next prime (1144254350411).

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, 49615672 + ... + 49638728.

It is an arithmetic number, because the mean of its divisors is an integer number (8706171564).

Almost surely, 2^{1144254350400} is an apocalyptic number.

1144254350400 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 1144254350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193955234128).

1144254350400 is an abundant number, since it is smaller than the sum of its proper divisors (3243656117856).

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

1144254350400 is a wasteful number, since it uses less digits than its factorization.

1144254350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23307 (or 23285 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 1144254350400 its reverse (40534524411), we get a palindrome (1184788874811).

The spelling of 1144254350400 in words is "one trillion, one hundred forty-four billion, two hundred fifty-four million, three hundred fifty thousand, four hundred".