144039733992 has 576 divisors, whose sum is σ = 518939965440. Its totient is φ = 35645702400.

The previous prime is 144039733979. The next prime is 144039734039. The reversal of 144039733992 is 299337930441.

It is a happy number.

It is a super-2 number, since 2×144039733992² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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, 80603323 + ... + 80605109.

It is an arithmetic number, because the mean of its divisors is an integer number (900937440).

Almost surely, 2^144039733992 is an apocalyptic number.

144039733992 is a gapful number since it is divisible by the number (12) 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 144039733992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259469982720).

144039733992 is an abundant number, since it is smaller than the sum of its proper divisors (374900231448).

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

144039733992 is a wasteful number, since it uses less digits than its factorization.

144039733992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 144039733992 in words is "one hundred forty-four billion, thirty-nine million, seven hundred thirty-three thousand, nine hundred ninety-two".