42129249120 has 384 divisors, whose sum is σ = 169093370880. Its totient is φ = 9596620800.

The previous prime is 42129249077. The next prime is 42129249131. The reversal of 42129249120 is 2194292124.

42129249120 is a `hidden beast` number, since 42 + 129 + 2 + 491 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9462895 + ... + 9467345.

It is an arithmetic number, because the mean of its divisors is an integer number (440347320).

Almost surely, 2^42129249120 is an apocalyptic number.

42129249120 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 42129249120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84546685440).

42129249120 is an abundant number, since it is smaller than the sum of its proper divisors (126964121760).

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

42129249120 is a wasteful number, since it uses less digits than its factorization.

42129249120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4795 (or 4781 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 42129249120 in words is "forty-two billion, one hundred twenty-nine million, two hundred forty-nine thousand, one hundred twenty".