144443658240 has 780 divisors, whose sum is σ = 602670812436. Its totient is φ = 32997113856.

The previous prime is 144443658211. The next prime is 144443658253. The reversal of 144443658240 is 42856344441.

It is a happy number.

144443658240 is a `hidden beast` number, since 1 + 4 + 4 + 44 + 365 + 8 + 240 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 62492000256 + 81951657984 = 249984^2 + 286272^2 .

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 59 ways as a sum of consecutive naturals, for example, 81284232 + ... + 81286008.

Almost surely, 2^144443658240 is an apocalyptic number.

144443658240 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 144443658240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301335406218).

144443658240 is an abundant number, since it is smaller than the sum of its proper divisors (458227154196).

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

144443658240 is an equidigital number, since it uses as much as digits as its factorization.

144443658240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 144443658240 in words is "one hundred forty-four billion, four hundred forty-three million, six hundred fifty-eight thousand, two hundred forty".