41807928240 has 240 divisors, whose sum is σ = 151929130080. Its totient is φ = 10241925120.

The previous prime is 41807928223. The next prime is 41807928241. The reversal of 41807928240 is 4282970814.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (41807928241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1964376 + ... + 1985544.

It is an arithmetic number, because the mean of its divisors is an integer number (633038042).

Almost surely, 2^41807928240 is an apocalyptic number.

41807928240 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 41807928240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75964565040).

41807928240 is an abundant number, since it is smaller than the sum of its proper divisors (110121201840).

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

41807928240 is a wasteful number, since it uses less digits than its factorization.

41807928240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21412 (or 21403 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 41807928240 in words is "forty-one billion, eight hundred seven million, nine hundred twenty-eight thousand, two hundred forty".