144229226400 has 1728 divisors, whose sum is σ = 649758412800. Its totient is φ = 30725775360.

The previous prime is 144229226399. The next prime is 144229226419. The reversal of 144229226400 is 4622922441.

144229226400 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 2 + 9 + 2 + 2 + 640 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 1135663137 + ... + 1135663263.

It is an arithmetic number, because the mean of its divisors is an integer number (376017600).

Almost surely, 2^144229226400 is an apocalyptic number.

144229226400 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 144229226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324879206400).

144229226400 is an abundant number, since it is smaller than the sum of its proper divisors (505529186400).

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

144229226400 is a wasteful number, since it uses less digits than its factorization.

144229226400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 144229226400 in words is "one hundred forty-four billion, two hundred twenty-nine million, two hundred twenty-six thousand, four hundred".