40241122422400 has 192 divisors, whose sum is σ = 101305744588800. Its totient is φ = 15789316608000.

The previous prime is 40241122422379. The next prime is 40241122422419. The reversal of 40241122422400 is 422422114204.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 868159225 + ... + 868205575.

It is an arithmetic number, because the mean of its divisors is an integer number (527634086400).

Almost surely, 2^{40241122422400} is an apocalyptic number.

40241122422400 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 40241122422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50652872294400).

40241122422400 is an abundant number, since it is smaller than the sum of its proper divisors (61064622166400).

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

40241122422400 is a wasteful number, since it uses less digits than its factorization.

40241122422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51547 (or 51530 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 40241122422400 its reverse (422422114204), we get a palindrome (40663544536604).

The spelling of 40241122422400 in words is "forty trillion, two hundred forty-one billion, one hundred twenty-two million, four hundred twenty-two thousand, four hundred".