42121103424400 has 1920 divisors, whose sum is σ = 145628679168000. Its totient is φ = 11515482316800.

The previous prime is 42121103424373. The next prime is 42121103424443. The reversal of 42121103424400 is 442430112124.

42121103424400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 121386465027 + ... + 121386465373.

It is an arithmetic number, because the mean of its divisors is an integer number (75848270400).

Almost surely, 2^{42121103424400} is an apocalyptic number.

42121103424400 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 42121103424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72814339584000).

42121103424400 is an abundant number, since it is smaller than the sum of its proper divisors (103507575743600).

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

42121103424400 is a wasteful number, since it uses less digits than its factorization.

42121103424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 42121103424400 its reverse (442430112124), we get a palindrome (42563533536524).

The spelling of 42121103424400 in words is "forty-two trillion, one hundred twenty-one billion, one hundred three million, four hundred twenty-four thousand, four hundred".