144100100401040 has 80 divisors (see below), whose sum is σ = 384899236300800. Its totient is φ = 49147079831040.

The previous prime is 144100100401007. The next prime is 144100100401073. The reversal of 144100100401040 is 40104001001441.

It is a happy number.

144100100401040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (144100100401007) and next prime (144100100401073).

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 673509815 + ... + 673723734.

It is an arithmetic number, because the mean of its divisors is an integer number (4811240453760).

Almost surely, 2^{144100100401040} is an apocalyptic number.

144100100401040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144100100401040 is an abundant number, since it is smaller than the sum of its proper divisors (240799135899760).

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

144100100401040 is a wasteful number, since it uses less digits than its factorization.

144100100401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347233760 (or 1347233754 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 144100100401040 its reverse (40104001001441), we get a palindrome (184204101402481).

The spelling of 144100100401040 in words is "one hundred forty-four trillion, one hundred billion, one hundred million, four hundred one thousand, forty".