42129612000 has 1152 divisors, whose sum is σ = 188225856000. Its totient is φ = 9101030400.

The previous prime is 42129611999. The next prime is 42129612011. The reversal of 42129612000 is 21692124.

42129612000 is a `hidden beast` number, since 4 + 21 + 29 + 612 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 100547791 + ... + 100548209.

It is an arithmetic number, because the mean of its divisors is an integer number (163390500).

Almost surely, 2^42129612000 is an apocalyptic number.

42129612000 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 42129612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94112928000).

42129612000 is an abundant number, since it is smaller than the sum of its proper divisors (146096244000).

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

42129612000 is a wasteful number, since it uses less digits than its factorization.

42129612000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 42129612000 in words is "forty-two billion, one hundred twenty-nine million, six hundred twelve thousand".