144080976400 has 45 divisors (see below), whose sum is σ = 346172785581. Its totient is φ = 57629353920.

The previous prime is 144080976397. The next prime is 144080976409. The reversal of 144080976400 is 4679080441.

The square root of 144080976400 is 379580.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 51869151504 + 92211824896 = 227748^2 + 303664^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144080976409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7582111 + ... + 7601089.

Almost surely, 2^144080976400 is an apocalyptic number.

144080976400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144080976400 is the 379580-th square number.

It is an amenable number.

144080976400 is an abundant number, since it is smaller than the sum of its proper divisors (202091809181).

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

144080976400 is an frugal number, since it uses more digits than its factorization.

144080976400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37976 (or 18986 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 144080976400 in words is "one hundred forty-four billion, eighty million, nine hundred seventy-six thousand, four hundred".