41893021728 has 144 divisors (see below), whose sum is σ = 121560094656. Its totient is φ = 13681681920.

The previous prime is 41893021711. The next prime is 41893021759. The reversal of 41893021728 is 82712039814.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4615851 + ... + 4624917.

It is an arithmetic number, because the mean of its divisors is an integer number (844167324).

Almost surely, 2^41893021728 is an apocalyptic number.

41893021728 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 41893021728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60780047328).

41893021728 is an abundant number, since it is smaller than the sum of its proper divisors (79667072928).

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

41893021728 is a wasteful number, since it uses less digits than its factorization.

41893021728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9407 (or 9396 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 41893021728 in words is "forty-one billion, eight hundred ninety-three million, twenty-one thousand, seven hundred twenty-eight".