144234493748400 has 960 divisors, whose sum is σ = 535931473904640. Its totient is φ = 32770778726400.

The previous prime is 144234493748393. The next prime is 144234493748473. The reversal of 144234493748400 is 4847394432441.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 102366566896 + ... + 102366568304.

It is an arithmetic number, because the mean of its divisors is an integer number (558261951984).

Almost surely, 2^{144234493748400} is an apocalyptic number.

144234493748400 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 144234493748400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267965736952320).

144234493748400 is an abundant number, since it is smaller than the sum of its proper divisors (391696980156240).

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

144234493748400 is a wasteful number, since it uses less digits than its factorization.

144234493748400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3054 (or 3043 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 57.

The spelling of 144234493748400 in words is "one hundred forty-four trillion, two hundred thirty-four billion, four hundred ninety-three million, seven hundred forty-eight thousand, four hundred".