42129509760 has 576 divisors, whose sum is σ = 159338949120. Its totient is φ = 10251730944.

The previous prime is 42129509729. The next prime is 42129509789. The reversal of 42129509760 is 6790592124.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 109998529 + ... + 109998911.

It is an arithmetic number, because the mean of its divisors is an integer number (276630120).

Almost surely, 2^42129509760 is an apocalyptic number.

42129509760 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 42129509760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79669474560).

42129509760 is an abundant number, since it is smaller than the sum of its proper divisors (117209439360).

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

42129509760 is a wasteful number, since it uses less digits than its factorization.

42129509760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 42129509760 in words is "forty-two billion, one hundred twenty-nine million, five hundred nine thousand, seven hundred sixty".