144034012401040 has 80 divisors (see below), whose sum is σ = 339934731588288. Its totient is φ = 56744105983488.

The previous prime is 144034012401031. The next prime is 144034012401053. The reversal of 144034012401040 is 40104210430441.

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

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, 29478834 + ... + 34015726.

Almost surely, 2^{144034012401040} is an apocalyptic number.

144034012401040 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 144034012401040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169967365794144).

144034012401040 is an abundant number, since it is smaller than the sum of its proper divisors (195900719187248).

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

144034012401040 is a wasteful number, since it uses less digits than its factorization.

144034012401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4542896 (or 4542890 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 144034012401040 its reverse (40104210430441), we get a palindrome (184138222831481).

The spelling of 144034012401040 in words is "one hundred forty-four trillion, thirty-four billion, twelve million, four hundred one thousand, forty".