144104411422400 has 672 divisors, whose sum is σ = 420118955665920. Its totient is φ = 47960985600000.

The previous prime is 144104411422397. The next prime is 144104411422409. The reversal of 144104411422400 is 4224114401441.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (144104411422409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16009817900 + ... + 16009826900.

It is an arithmetic number, because the mean of its divisors is an integer number (625177017360).

Almost surely, 2^{144104411422400} is an apocalyptic number.

144104411422400 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 144104411422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210059477832960).

144104411422400 is an abundant number, since it is smaller than the sum of its proper divisors (276014544243520).

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

144104411422400 is a wasteful number, since it uses less digits than its factorization.

144104411422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9633 (or 9618 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

Adding to 144104411422400 its reverse (4224114401441), we get a palindrome (148328525823841).

The spelling of 144104411422400 in words is "one hundred forty-four trillion, one hundred four billion, four hundred eleven million, four hundred twenty-two thousand, four hundred".