144100040240000 has 240 divisors, whose sum is σ = 388445196435120. Its totient is φ = 53206163712000.

The previous prime is 144100040239999. The next prime is 144100040240027. The reversal of 144100040240000 is 42040001441.

It is a happy number.

144100040240000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8190857 + ... + 18849143.

It is an arithmetic number, because the mean of its divisors is an integer number (1618521651813).

Almost surely, 2^{144100040240000} is an apocalyptic number.

144100040240000 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 144100040240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194222598217560).

144100040240000 is an abundant number, since it is smaller than the sum of its proper divisors (244345156195120).

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

144100040240000 is an equidigital number, since it uses as much as digits as its factorization.

144100040240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10658347 (or 10658307 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 144100040240000 its reverse (42040001441), we get a palindrome (144142080241441).

The spelling of 144100040240000 in words is "one hundred forty-four trillion, one hundred billion, forty million, two hundred forty thousand".