42829226238204 has 648 divisors, whose sum is σ = 134558590709088. Its totient is φ = 11887524230400.

The previous prime is 42829226238131. The next prime is 42829226238229. The reversal of 42829226238204 is 40283262292824.

It is a happy number.

42829226238204 is a `hidden beast` number, since 4 + 2 + 8 + 2 + 9 + 2 + 2 + 623 + 8 + 2 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 7020030754 + ... + 7020036854.

It is an arithmetic number, because the mean of its divisors is an integer number (207652146156).

Almost surely, 2^{42829226238204} 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 42829226238204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67279295354544).

42829226238204 is an abundant number, since it is smaller than the sum of its proper divisors (91729364470884).

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

42829226238204 is a wasteful number, since it uses less digits than its factorization.

42829226238204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6299 (or 6269 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 42829226238204 in words is "forty-two trillion, eight hundred twenty-nine billion, two hundred twenty-six million, two hundred thirty-eight thousand, two hundred four".