144161740800 has 1728 divisors, whose sum is σ = 684406195200. Its totient is φ = 28075622400.

The previous prime is 144161740799. The next prime is 144161740831. The reversal of 144161740800 is 8047161441.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 603187081 + ... + 603187319.

It is an arithmetic number, because the mean of its divisors is an integer number (396068400).

Almost surely, 2^144161740800 is an apocalyptic number.

144161740800 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 144161740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342203097600).

144161740800 is an abundant number, since it is smaller than the sum of its proper divisors (540244454400).

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

144161740800 is a wasteful number, since it uses less digits than its factorization.

144161740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 144161740800 in words is "one hundred forty-four billion, one hundred sixty-one million, seven hundred forty thousand, eight hundred".