144240100000040 has 128 divisors (see below), whose sum is σ = 354806570747520. Its totient is φ = 52337979724800.

The previous prime is 144240100000037. The next prime is 144240100000057. The reversal of 144240100000040 is 40000001042441.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 144240099999958 and 144240100000021.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2102683022 + ... + 2102751618.

It is an arithmetic number, because the mean of its divisors is an integer number (2771926333965).

Almost surely, 2^{144240100000040} is an apocalyptic number.

144240100000040 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 144240100000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177403285373760).

144240100000040 is an abundant number, since it is smaller than the sum of its proper divisors (210566470747480).

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

144240100000040 is a wasteful number, since it uses less digits than its factorization.

144240100000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78843 (or 78839 counting only the distinct ones).

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

Adding to 144240100000040 its reverse (40000001042441), we get a palindrome (184240101042481).

The spelling of 144240100000040 in words is "one hundred forty-four trillion, two hundred forty billion, one hundred million, forty", and thus it is an aban number.