144140427600 has 240 divisors, whose sum is σ = 501900501312. Its totient is φ = 35148718080.

The previous prime is 144140427523. The next prime is 144140427601. The reversal of 144140427600 is 6724041441.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144140427601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1626024 + ... + 1712376.

Almost surely, 2^144140427600 is an apocalyptic number.

144140427600 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 144140427600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250950250656).

144140427600 is an abundant number, since it is smaller than the sum of its proper divisors (357760073712).

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

144140427600 is a wasteful number, since it uses less digits than its factorization.

144140427600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86494 (or 86483 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The spelling of 144140427600 in words is "one hundred forty-four billion, one hundred forty million, four hundred twenty-seven thousand, six hundred".