41322122400 has 216 divisors, whose sum is σ = 145647240480. Its totient is φ = 10171499520.

The previous prime is 41322122399. The next prime is 41322122407. The reversal of 41322122400 is 422122314.

It is not an unprimeable number, because it can be changed into a prime (41322122407) 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 35 ways as a sum of consecutive naturals, for example, 354661 + ... + 456539.

It is an arithmetic number, because the mean of its divisors is an integer number (674292780).

Almost surely, 2^41322122400 is an apocalyptic number.

41322122400 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 41322122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72823620240).

41322122400 is an abundant number, since it is smaller than the sum of its proper divisors (104325118080).

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

41322122400 is a wasteful number, since it uses less digits than its factorization.

41322122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101928 (or 101902 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 41322122400 its reverse (422122314), we get a palindrome (41744244714).

The spelling of 41322122400 in words is "forty-one billion, three hundred twenty-two million, one hundred twenty-two thousand, four hundred".