144201397824 has 336 divisors, whose sum is σ = 474123837120. Its totient is φ = 42622156800.

The previous prime is 144201397787. The next prime is 144201397859. The reversal of 144201397824 is 428793102441.

144201397824 is a `hidden beast` number, since 1 + 4 + 420 + 139 + 78 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 144201397824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31950192 + ... + 31954704.

Almost surely, 2^144201397824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144201397824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237061918560).

144201397824 is an abundant number, since it is smaller than the sum of its proper divisors (329922439296).

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

144201397824 is a wasteful number, since it uses less digits than its factorization.

144201397824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4627 (or 4570 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 144201397824 in words is "one hundred forty-four billion, two hundred one million, three hundred ninety-seven thousand, eight hundred twenty-four".