41428569057312 has 96 divisors (see below), whose sum is σ = 110554631175744. Its totient is φ = 13580452224000.

The previous prime is 41428569057307. The next prime is 41428569057313. The reversal of 41428569057312 is 21375096582414.

It is a happy number.

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

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (41428569057313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29034187 + ... + 30427637.

It is an arithmetic number, because the mean of its divisors is an integer number (1151610741414).

It is a 1-persistent number, because it is pandigital, but 2⋅41428569057312 = 82857138114624 is not.

Almost surely, 2^{41428569057312} 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 41428569057312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55277315587872).

41428569057312 is an abundant number, since it is smaller than the sum of its proper divisors (69126062118432).

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

41428569057312 is a wasteful number, since it uses less digits than its factorization.

41428569057312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398602 (or 1398594 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 41428569057312 in words is "forty-one trillion, four hundred twenty-eight billion, five hundred sixty-nine million, fifty-seven thousand, three hundred twelve".