41742033920 has 352 divisors, whose sum is σ = 114605798400. Its totient is φ = 14492893184.

The previous prime is 41742033919. The next prime is 41742033929. The reversal of 41742033920 is 2933024714.

It is not an unprimeable number, because it can be changed into a prime (41742033929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58055321 + ... + 58056039.

Almost surely, 2^41742033920 is an apocalyptic number.

41742033920 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 41742033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57302899200).

41742033920 is an abundant number, since it is smaller than the sum of its proper divisors (72863764480).

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

41742033920 is a wasteful number, since it uses less digits than its factorization.

41742033920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The spelling of 41742033920 in words is "forty-one billion, seven hundred forty-two million, thirty-three thousand, nine hundred twenty".