144096638400 has 2016 divisors, whose sum is σ = 660357734400. Its totient is φ = 29262643200.

The previous prime is 144096638393. The next prime is 144096638461. The reversal of 144096638400 is 4836690441.

144096638400 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 9 + 6 + 638 + 4 + 0 + 0 = 666.

It is a super-3 number, since 3×144096638400³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1134619137 + ... + 1134619263.

It is an arithmetic number, because the mean of its divisors is an integer number (327558400).

Almost surely, 2^144096638400 is an apocalyptic number.

144096638400 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 144096638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330178867200).

144096638400 is an abundant number, since it is smaller than the sum of its proper divisors (516261096000).

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

144096638400 is a wasteful number, since it uses less digits than its factorization.

144096638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 144096638400 in words is "one hundred forty-four billion, ninety-six million, six hundred thirty-eight thousand, four hundred".