42124122400 has 36 divisors (see below), whose sum is σ = 102835515762. Its totient is φ = 16849648640.

The previous prime is 42124122389. The next prime is 42124122407. The reversal of 42124122400 is 422142124.

It can be written as a sum of positive squares in 3 ways, for example, as 24444697104 + 17679425296 = 156348^2 + 132964^2 .

It is not an unprimeable number, because it can be changed into a prime (42124122407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26326777 + ... + 26328376.

Almost surely, 2^42124122400 is an apocalyptic number.

42124122400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42124122400 is an abundant number, since it is smaller than the sum of its proper divisors (60711393362).

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

42124122400 is a wasteful number, since it uses less digits than its factorization.

42124122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52655173 (or 52655160 counting only the distinct ones).

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

Adding to 42124122400 its reverse (422142124), we get a palindrome (42546264524).

The spelling of 42124122400 in words is "forty-two billion, one hundred twenty-four million, one hundred twenty-two thousand, four hundred".