144220432400 has 90 divisors (see below), whose sum is σ = 380852320506. Its totient is φ = 52443776000.

The previous prime is 144220432381. The next prime is 144220432417. The reversal of 144220432400 is 4234022441.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3157091344 + 141063341056 = 56188^2 + 375584^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 144220432400.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1441481 + ... + 1538280.

Almost surely, 2^144220432400 is an apocalyptic number.

144220432400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144220432400 is an abundant number, since it is smaller than the sum of its proper divisors (236631888106).

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

144220432400 is a wasteful number, since it uses less digits than its factorization.

144220432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2979801 (or 2979779 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 144220432400 its reverse (4234022441), we get a palindrome (148454454841).

The spelling of 144220432400 in words is "one hundred forty-four billion, two hundred twenty million, four hundred thirty-two thousand, four hundred".