42129583680 has 224 divisors, whose sum is σ = 137246465664. Its totient is φ = 10943299584.

The previous prime is 42129583673. The next prime is 42129583681. The reversal of 42129583680 is 8638592124.

42129583680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (42129583681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17873062 + ... + 17875418.

It is an arithmetic number, because the mean of its divisors is an integer number (612707436).

Almost surely, 2^42129583680 is an apocalyptic number.

42129583680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42129583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68623232832).

42129583680 is an abundant number, since it is smaller than the sum of its proper divisors (95116881984).

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

42129583680 is a wasteful number, since it uses less digits than its factorization.

42129583680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2853 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 42129583680 in words is "forty-two billion, one hundred twenty-nine million, five hundred eighty-three thousand, six hundred eighty".