144252044640 has 480 divisors, whose sum is σ = 556619019264. Its totient is φ = 34891637760.

The previous prime is 144252044639. The next prime is 144252044687. The reversal of 144252044640 is 46440252441.

144252044640 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 5 + 2 + 0 + 4 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 144252044595 and 144252044604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 86533087 + ... + 86534753.

Almost surely, 2^144252044640 is an apocalyptic number.

144252044640 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 144252044640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278309509632).

144252044640 is an abundant number, since it is smaller than the sum of its proper divisors (412366974624).

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

144252044640 is a wasteful number, since it uses less digits than its factorization.

144252044640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 2295 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 144252044640 in words is "one hundred forty-four billion, two hundred fifty-two million, forty-four thousand, six hundred forty".