42601101728 has 96 divisors (see below), whose sum is σ = 89809961472. Its totient is φ = 19856793600.

The previous prime is 42601101691. The next prime is 42601101733. The reversal of 42601101728 is 82710110624.

It is a happy number.

42601101728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 42601101694 and 42601101703.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3107048 + ... + 3120728.

It is an arithmetic number, because the mean of its divisors is an integer number (935520432).

Almost surely, 2^42601101728 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 42601101728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44904980736).

42601101728 is an abundant number, since it is smaller than the sum of its proper divisors (47208859744).

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

42601101728 is a wasteful number, since it uses less digits than its factorization.

42601101728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13838 (or 13830 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The spelling of 42601101728 in words is "forty-two billion, six hundred one million, one hundred one thousand, seven hundred twenty-eight".