144100312031440 has 40 divisors (see below), whose sum is σ = 337478723494920. Its totient is φ = 57219393970176.

The previous prime is 144100312031419. The next prime is 144100312031453. The reversal of 144100312031440 is 44130213001441.

It can be written as a sum of positive squares in 4 ways, for example, as 30301854202944 + 113798457828496 = 5504712^2 + 10667636^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 144100312031399 and 144100312031408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6573908385 + ... + 6573930304.

It is an arithmetic number, because the mean of its divisors is an integer number (8436968087373).

Almost surely, 2^{144100312031440} is an apocalyptic number.

144100312031440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144100312031440 is an abundant number, since it is smaller than the sum of its proper divisors (193378411463480).

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

144100312031440 is a wasteful number, since it uses less digits than its factorization.

144100312031440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13147838839 (or 13147838833 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 144100312031440 its reverse (44130213001441), we get a palindrome (188230525032881).

The spelling of 144100312031440 in words is "one hundred forty-four trillion, one hundred billion, three hundred twelve million, thirty-one thousand, four hundred forty".