144431775400 has 96 divisors (see below), whose sum is σ = 367792397280. Its totient is φ = 52311200000.

The previous prime is 144431775373. The next prime is 144431775401. The reversal of 144431775400 is 4577134441.

144431775400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (144431775401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421422 + ... + 682978.

It is an arithmetic number, because the mean of its divisors is an integer number (3831170805).

Almost surely, 2^144431775400 is an apocalyptic number.

144431775400 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 144431775400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183896198640).

144431775400 is an abundant number, since it is smaller than the sum of its proper divisors (223360621880).

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

144431775400 is a wasteful number, since it uses less digits than its factorization.

144431775400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261835 (or 261826 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 40.

The spelling of 144431775400 in words is "one hundred forty-four billion, four hundred thirty-one million, seven hundred seventy-five thousand, four hundred".