523424340325040 has 1280 divisors, whose sum is σ = 1577316188160000. Its totient is φ = 156865104506880.

The previous prime is 523424340324973. The next prime is 523424340325049. The reversal of 523424340325040 is 40523043424325.

It is not an unprimeable number, because it can be changed into a prime (523424340325049) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1849555972739 + ... + 1849555973021.

It is an arithmetic number, because the mean of its divisors is an integer number (1232278272000).

Almost surely, 2^{523424340325040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 523424340325040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788658094080000).

523424340325040 is an abundant number, since it is smaller than the sum of its proper divisors (1053891847834960).

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

523424340325040 is a wasteful number, since it uses less digits than its factorization.

523424340325040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 41.

Adding to 523424340325040 its reverse (40523043424325), we get a palindrome (563947383749365).

The spelling of 523424340325040 in words is "five hundred twenty-three trillion, four hundred twenty-four billion, three hundred forty million, three hundred twenty-five thousand, forty".