42129603936 has 144 divisors (see below), whose sum is σ = 137198880000. Its totient is φ = 12012620544.

The previous prime is 42129603917. The next prime is 42129603977. The reversal of 42129603936 is 63930692124.

42129603936 is a `hidden beast` number, since 4 + 2 + 1 + 2 + 9 + 603 + 9 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 42129603891 and 42129603900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 985045 + ... + 1026923.

It is an arithmetic number, because the mean of its divisors is an integer number (952770000).

Almost surely, 2^42129603936 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 42129603936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68599440000).

42129603936 is an abundant number, since it is smaller than the sum of its proper divisors (95069276064).

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

42129603936 is a wasteful number, since it uses less digits than its factorization.

42129603936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42401 (or 42390 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 42129603936 in words is "forty-two billion, one hundred twenty-nine million, six hundred three thousand, nine hundred thirty-six".