41713745920 has 480 divisors, whose sum is σ = 132494019840. Its totient is φ = 12205424640.

The previous prime is 41713745897. The next prime is 41713745981. The reversal of 41713745920 is 2954731714.

It is a super-3 number, since 3×41713745920³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107233086 + ... + 107233474.

It is an arithmetic number, because the mean of its divisors is an integer number (276029208).

Almost surely, 2^41713745920 is an apocalyptic number.

41713745920 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 41713745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66247009920).

41713745920 is an abundant number, since it is smaller than the sum of its proper divisors (90780273920).

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

41713745920 is a wasteful number, since it uses less digits than its factorization.

41713745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 43.

The spelling of 41713745920 in words is "forty-one billion, seven hundred thirteen million, seven hundred forty-five thousand, nine hundred twenty".