39142429728 has 96 divisors (see below), whose sum is σ = 105405209280. Its totient is φ = 12711075840.

The previous prime is 39142429673. The next prime is 39142429747. The reversal of 39142429728 is 82792424193.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×39142429728² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2901976 + ... + 2915432.

It is an arithmetic number, because the mean of its divisors is an integer number (1097970930).

Almost surely, 2^39142429728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39142429728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52702604640).

39142429728 is an abundant number, since it is smaller than the sum of its proper divisors (66262779552).

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

39142429728 is a wasteful number, since it uses less digits than its factorization.

39142429728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14250 (or 14242 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The spelling of 39142429728 in words is "thirty-nine billion, one hundred forty-two million, four hundred twenty-nine thousand, seven hundred twenty-eight".