41922359320800 has 576 divisors, whose sum is σ = 164072662677504. Its totient is φ = 9095871283200.

The previous prime is 41922359320783. The next prime is 41922359320819. The reversal of 41922359320800 is 802395322914.

It is a super-2 number, since 2×41922359320800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 41922359320800.

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, 24663129 + ... + 26308071.

It is an arithmetic number, because the mean of its divisors is an integer number (284848372704).

Almost surely, 2^{41922359320800} is an apocalyptic number.

41922359320800 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 41922359320800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82036331338752).

41922359320800 is an abundant number, since it is smaller than the sum of its proper divisors (122150303356704).

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

41922359320800 is a wasteful number, since it uses less digits than its factorization.

41922359320800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645051 (or 1645038 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 41922359320800 in words is "forty-one trillion, nine hundred twenty-two billion, three hundred fifty-nine million, three hundred twenty thousand, eight hundred".