42037129008 has 480 divisors, whose sum is σ = 144628243200. Its totient is φ = 11651641344.

The previous prime is 42037129007. The next prime is 42037129019. The reversal of 42037129008 is 80092173024.

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

It is not an unprimeable number, because it can be changed into a prime (42037129007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121144291 + ... + 121144637.

It is an arithmetic number, because the mean of its divisors is an integer number (301308840).

Almost surely, 2^42037129008 is an apocalyptic number.

42037129008 is a gapful number since it is divisible by the number (48) 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 42037129008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72314121600).

42037129008 is an abundant number, since it is smaller than the sum of its proper divisors (102591114192).

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

42037129008 is a wasteful number, since it uses less digits than its factorization.

42037129008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 42037129008 in words is "forty-two billion, thirty-seven million, one hundred twenty-nine thousand, eight".