433144241440240 has 160 divisors (see below), whose sum is σ = 1156660508989440. Its totient is φ = 149187792614400.

The previous prime is 433144241440217. The next prime is 433144241440241. The reversal of 433144241440240 is 42044142441334.

It is a super-2 number, since 2×433144241440240² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 433144241440193 and 433144241440202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (433144241440241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82508370 + ... + 87600910.

It is an arithmetic number, because the mean of its divisors is an integer number (7229128181184).

Almost surely, 2^{433144241440240} is an apocalyptic number.

433144241440240 is a gapful number since it is divisible by the number (40) 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 433144241440240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578330254494720).

433144241440240 is an abundant number, since it is smaller than the sum of its proper divisors (723516267549200).

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

433144241440240 is a wasteful number, since it uses less digits than its factorization.

433144241440240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5097671 (or 5097665 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 40.

Adding to 433144241440240 its reverse (42044142441334), we get a palindrome (475188383881574).

The spelling of 433144241440240 in words is "four hundred thirty-three trillion, one hundred forty-four billion, two hundred forty-one million, four hundred forty thousand, two hundred forty".