433402240120 has 64 divisors (see below), whose sum is σ = 991966694400. Its totient is φ = 170373840000.

The previous prime is 433402240097. The next prime is 433402240127. The reversal of 433402240120 is 21042204334.

It is a happy number.

It is a super-2 number, since 2×433402240120² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (433402240127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8865745 + ... + 8914495.

It is an arithmetic number, because the mean of its divisors is an integer number (15499479600).

Almost surely, 2^433402240120 is an apocalyptic number.

433402240120 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 433402240120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495983347200).

433402240120 is an abundant number, since it is smaller than the sum of its proper divisors (558564454280).

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

433402240120 is a wasteful number, since it uses less digits than its factorization.

433402240120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52588 (or 52584 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 433402240120 its reverse (21042204334), we get a palindrome (454444444454).

The spelling of 433402240120 in words is "four hundred thirty-three billion, four hundred two million, two hundred forty thousand, one hundred twenty".