40122110232400 has 480 divisors, whose sum is σ = 115596029952000. Its totient is φ = 13094246246400.

The previous prime is 40122110232331. The next prime is 40122110232403. The reversal of 40122110232400 is 423201122104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40122110232403) 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 95 ways as a sum of consecutive naturals, for example, 1332104541 + ... + 1332134659.

It is an arithmetic number, because the mean of its divisors is an integer number (240825062400).

Almost surely, 2^{40122110232400} is an apocalyptic number.

40122110232400 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 40122110232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57798014976000).

40122110232400 is an abundant number, since it is smaller than the sum of its proper divisors (75473919719600).

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

40122110232400 is a wasteful number, since it uses less digits than its factorization.

40122110232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30427 (or 30416 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 40122110232400 its reverse (423201122104), we get a palindrome (40545311354504).

The spelling of 40122110232400 in words is "forty trillion, one hundred twenty-two billion, one hundred ten million, two hundred thirty-two thousand, four hundred".