144034022431440 has 120 divisors (see below), whose sum is σ = 483719273363040. Its totient is φ = 38408674459392.

The previous prime is 144034022431399. The next prime is 144034022431469. The reversal of 144034022431440 is 44134220430441.

144034022431440 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 3 + 402 + 243 + 1 + 4 + 4 + 0 = 666.

144034022431440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×144034022431440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144034022431395 and 144034022431404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72035439 + ... + 74007921.

It is an arithmetic number, because the mean of its divisors is an integer number (4030993944692).

Almost surely, 2^{144034022431440} is an apocalyptic number.

144034022431440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144034022431440 is an abundant number, since it is smaller than the sum of its proper divisors (339685250931600).

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

144034022431440 is a wasteful number, since it uses less digits than its factorization.

144034022431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073921 (or 2073912 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 144034022431440 its reverse (44134220430441), we get a palindrome (188168242861881).

The spelling of 144034022431440 in words is "one hundred forty-four trillion, thirty-four billion, twenty-two million, four hundred thirty-one thousand, four hundred forty".