42421122400 has 72 divisors (see below), whose sum is σ = 104159520864. Its totient is φ = 16870310400.

The previous prime is 42421122389. The next prime is 42421122437. The reversal of 42421122400 is 422112424.

It is a super-3 number, since 3×42421122400³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 14856 + ... + 291655.

It is an arithmetic number, because the mean of its divisors is an integer number (1446660012).

Almost surely, 2^42421122400 is an apocalyptic number.

42421122400 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 42421122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52079760432).

42421122400 is an abundant number, since it is smaller than the sum of its proper divisors (61738398464).

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

42421122400 is a wasteful number, since it uses less digits than its factorization.

42421122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306704 (or 306691 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 42421122400 its reverse (422112424), we get a palindrome (42843234824).

The spelling of 42421122400 in words is "forty-two billion, four hundred twenty-one million, one hundred twenty-two thousand, four hundred".