41922774432 has 432 divisors, whose sum is σ = 151717745088. Its totient is φ = 10667704320.

The previous prime is 41922774407. The next prime is 41922774433. The reversal of 41922774432 is 23447722914.

41922774432 is a `hidden beast` number, since 4 + 192 + 27 + 7 + 4 + 432 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (41922774433) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 62292048 + ... + 62292720.

It is an arithmetic number, because the mean of its divisors is an integer number (351198484).

Almost surely, 2^41922774432 is an apocalyptic number.

41922774432 is a gapful number since it is divisible by the number (42) 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 41922774432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75858872544).

41922774432 is an abundant number, since it is smaller than the sum of its proper divisors (109794970656).

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

41922774432 is a wasteful number, since it uses less digits than its factorization.

41922774432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 749 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The spelling of 41922774432 in words is "forty-one billion, nine hundred twenty-two million, seven hundred seventy-four thousand, four hundred thirty-two".