144100440254400 has 672 divisors, whose sum is σ = 593473413365760. Its totient is φ = 29847018516480.

The previous prime is 144100440254387. The next prime is 144100440254413. The reversal of 144100440254400 is 4452044001441.

It is an interprime number because it is at equal distance from previous prime (144100440254387) and next prime (144100440254413).

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9776217 + ... + 19590183.

Almost surely, 2^{144100440254400} is an apocalyptic number.

144100440254400 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 144100440254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296736706682880).

144100440254400 is an abundant number, since it is smaller than the sum of its proper divisors (449372973111360).

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

144100440254400 is a wasteful number, since it uses less digits than its factorization.

144100440254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9814041 (or 9814026 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 33.

Adding to 144100440254400 its reverse (4452044001441), we get a palindrome (148552484255841).

The spelling of 144100440254400 in words is "one hundred forty-four trillion, one hundred billion, four hundred forty million, two hundred fifty-four thousand, four hundred".