41742226523760 has 320 divisors, whose sum is σ = 149449267968000. Its totient is φ = 9440513888256.

The previous prime is 41742226523749. The next prime is 41742226523773. The reversal of 41742226523760 is 6732562224714.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132971466 + ... + 133285014.

It is an arithmetic number, because the mean of its divisors is an integer number (467028962400).

Almost surely, 2^{41742226523760} is an apocalyptic number.

41742226523760 is a gapful number since it is divisible by the number (40) 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 41742226523760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74724633984000).

41742226523760 is an abundant number, since it is smaller than the sum of its proper divisors (107707041444240).

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

41742226523760 is a wasteful number, since it uses less digits than its factorization.

41742226523760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314408 (or 314402 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 51.

The spelling of 41742226523760 in words is "forty-one trillion, seven hundred forty-two billion, two hundred twenty-six million, five hundred twenty-three thousand, seven hundred sixty".