125233440200440 has 256 divisors, whose sum is σ = 348483570624000. Its totient is φ = 39821221140480.

The previous prime is 125233440200423. The next prime is 125233440200483. The reversal of 125233440200440 is 44002044332521.

It is a junction number, because it is equal to n+sod(n) for n = 125233440200396 and 125233440200405.

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, 2088690942 + ... + 2088750898.

It is an arithmetic number, because the mean of its divisors is an integer number (1361263947750).

Almost surely, 2^{125233440200440} is an apocalyptic number.

125233440200440 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 125233440200440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174241785312000).

125233440200440 is an abundant number, since it is smaller than the sum of its proper divisors (223250130423560).

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

125233440200440 is a wasteful number, since it uses less digits than its factorization.

125233440200440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79230 (or 79226 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 34.

Adding to 125233440200440 its reverse (44002044332521), we get a palindrome (169235484532961).

The spelling of 125233440200440 in words is "one hundred twenty-five trillion, two hundred thirty-three billion, four hundred forty million, two hundred thousand, four hundred forty".