41842728000 has 168 divisors, whose sum is σ = 149678669400. Its totient is φ = 11158041600.

The previous prime is 41842727951. The next prime is 41842728007. The reversal of 41842728000 is 82724814.

It can be written as a sum of positive squares in 4 ways, for example, as 158155776 + 41684572224 = 12576^2 + 204168^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (41842728007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218575 + ... + 362574.

Almost surely, 2^41842728000 is an apocalyptic number.

41842728000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41842728000 is an abundant number, since it is smaller than the sum of its proper divisors (107835941400).

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

41842728000 is a wasteful number, since it uses less digits than its factorization.

41842728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581182 (or 581159 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 41842728000 in words is "forty-one billion, eight hundred forty-two million, seven hundred twenty-eight thousand".