144232400400 has 240 divisors, whose sum is σ = 506850773760. Its totient is φ = 34769523200.

The previous prime is 144232400359. The next prime is 144232400423. The reversal of 144232400400 is 4004232441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2332279 + ... + 2393321.

It is an arithmetic number, because the mean of its divisors is an integer number (2111878224).

Almost surely, 2^144232400400 is an apocalyptic number.

144232400400 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 144232400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253425386880).

144232400400 is an abundant number, since it is smaller than the sum of its proper divisors (362618373360).

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

144232400400 is a wasteful number, since it uses less digits than its factorization.

144232400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61254 (or 61243 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 144232400400 its reverse (4004232441), we get a palindrome (148236632841).

The spelling of 144232400400 in words is "one hundred forty-four billion, two hundred thirty-two million, four hundred thousand, four hundred".