42029829504 has 720 divisors, whose sum is σ = 145611039420. Its totient is φ = 12024889344.

The previous prime is 42029829463. The next prime is 42029829509. The reversal of 42029829504 is 40592892024.

42029829504 is a `hidden beast` number, since 42 + 0 + 29 + 82 + 9 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 42029829504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42029829509) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 506383447 + ... + 506383529.

Almost surely, 2^42029829504 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 42029829504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72805519710).

42029829504 is an abundant number, since it is smaller than the sum of its proper divisors (103581209916).

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

42029829504 is a wasteful number, since it uses less digits than its factorization.

42029829504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 42029829504 in words is "forty-two billion, twenty-nine million, eight hundred twenty-nine thousand, five hundred four".