41922496800 has 486 divisors, whose sum is σ = 157257358713. Its totient is φ = 10507553280.

The previous prime is 41922496711. The next prime is 41922496853. The reversal of 41922496800 is 869422914.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

41922496800 is a `hidden beast` number, since 419 + 224 + 9 + 6 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41084046864 + 838449936 = 202692^2 + 28956^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=144780.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 330098337 + ... + 330098463.

Almost surely, 2^41922496800 is an apocalyptic number.

41922496800 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 41922496800

41922496800 is an abundant number, since it is smaller than the sum of its proper divisors (115334861913).

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

41922496800 is a wasteful number, since it uses less digits than its factorization.

41922496800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 41922496800 in words is "forty-one billion, nine hundred twenty-two million, four hundred ninety-six thousand, eight hundred".