41822202240 has 768 divisors, whose sum is σ = 180344062080. Its totient is φ = 8695185408.

The previous prime is 41822202209. The next prime is 41822202251. The reversal of 41822202240 is 4220222814.

41822202240 is a `hidden beast` number, since 418 + 2 + 2 + 2 + 0 + 2 + 240 = 666.

It is a super-2 number, since 2×41822202240² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38263134 + ... + 38264226.

Almost surely, 2^41822202240 is an apocalyptic number.

41822202240 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 41822202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90172031040).

41822202240 is an abundant number, since it is smaller than the sum of its proper divisors (138521859840).

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

41822202240 is a wasteful number, since it uses less digits than its factorization.

41822202240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The spelling of 41822202240 in words is "forty-one billion, eight hundred twenty-two million, two hundred two thousand, two hundred forty".