41834802240 has 1568 divisors, whose sum is σ = 198608557824. Its totient is φ = 8121876480.

The previous prime is 41834802209. The next prime is 41834802253. The reversal of 41834802240 is 4220843814.

41834802240 is a `hidden beast` number, since 41 + 83 + 480 + 22 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 41834802195 and 41834802204.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 305363452 + ... + 305363588.

Almost surely, 2^41834802240 is an apocalyptic number.

41834802240 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 41834802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99304278912).

41834802240 is an abundant number, since it is smaller than the sum of its proper divisors (156773755584).

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

41834802240 is a wasteful number, since it uses less digits than its factorization.

41834802240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 41834802240 in words is "forty-one billion, eight hundred thirty-four million, eight hundred two thousand, two hundred forty".