225435234233440 has 384 divisors, whose sum is σ = 666300826533888. Its totient is φ = 70023437383680.

The previous prime is 225435234233383. The next prime is 225435234233479. The reversal of 225435234233440 is 44332432534522.

It is a super-3 number, since 3×225435234233440³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4361857839 + ... + 4361909521.

It is an arithmetic number, because the mean of its divisors is an integer number (1735158402432).

Almost surely, 2^{225435234233440} is an apocalyptic number.

225435234233440 is a gapful number since it is divisible by the number (20) 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 225435234233440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333150413266944).

225435234233440 is an abundant number, since it is smaller than the sum of its proper divisors (440865592300448).

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

225435234233440 is a wasteful number, since it uses less digits than its factorization.

225435234233440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52930 (or 52922 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 46.

Adding to 225435234233440 its reverse (44332432534522), we get a palindrome (269767666767962).

The spelling of 225435234233440 in words is "two hundred twenty-five trillion, four hundred thirty-five billion, two hundred thirty-four million, two hundred thirty-three thousand, four hundred forty".