42421412133100 has 576 divisors, whose sum is σ = 132661151142912. Its totient is φ = 11329818624000.

The previous prime is 42421412133047. The next prime is 42421412133103. The reversal of 42421412133100 is 133121412424.

It is a happy number.

It is a super-2 number, since 2×42421412133100² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (42421412133103) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 124053355 + ... + 124394845.

It is an arithmetic number, because the mean of its divisors is an integer number (230314498512).

Almost surely, 2^{42421412133100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42421412133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66330575571456).

42421412133100 is an abundant number, since it is smaller than the sum of its proper divisors (90239739009812).

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

42421412133100 is a wasteful number, since it uses less digits than its factorization.

42421412133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341626 (or 341619 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 42421412133100 its reverse (133121412424), we get a palindrome (42554533545524).

The spelling of 42421412133100 in words is "forty-two trillion, four hundred twenty-one billion, four hundred twelve million, one hundred thirty-three thousand, one hundred".