144120144120400 has 120 divisors (see below), whose sum is σ = 396538864888320. Its totient is φ = 49309462510080.

The previous prime is 144120144120361. The next prime is 144120144120479. The reversal of 144120144120400 is 4021441021441.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52386859 + ... + 55069258.

It is an arithmetic number, because the mean of its divisors is an integer number (3304490540736).

Almost surely, 2^{144120144120400} is an apocalyptic number.

144120144120400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144120144120400 is an abundant number, since it is smaller than the sum of its proper divisors (252418720767920).

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

144120144120400 is a wasteful number, since it uses less digits than its factorization.

144120144120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107456621 (or 107456610 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 144120144120400 its reverse (4021441021441), we get a palindrome (148141585141841).

The spelling of 144120144120400 in words is "one hundred forty-four trillion, one hundred twenty billion, one hundred forty-four million, one hundred twenty thousand, four hundred".