144430808400 has 300 divisors, whose sum is σ = 519636532800. Its totient is φ = 38419349760.

The previous prime is 144430808339. The next prime is 144430808407. The reversal of 144430808400 is 4808034441.

144430808400 is a `hidden beast` number, since 144 + 4 + 30 + 80 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144430808407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13570281 + ... + 13580919.

It is an arithmetic number, because the mean of its divisors is an integer number (1732121776).

Almost surely, 2^144430808400 is an apocalyptic number.

144430808400 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 144430808400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259818266400).

144430808400 is an abundant number, since it is smaller than the sum of its proper divisors (375205724400).

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

144430808400 is a wasteful number, since it uses less digits than its factorization.

144430808400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11088 (or 11068 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 144430808400 in words is "one hundred forty-four billion, four hundred thirty million, eight hundred eight thousand, four hundred".