41972220927000 has 1792 divisors, whose sum is σ = 187495234617600. Its totient is φ = 8549917286400.

The previous prime is 41972220926983. The next prime is 41972220927001. The reversal of 41972220927000 is 72902227914.

It is a happy number.

41972220927000 is a `hidden beast` number, since 419 + 7 + 2 + 2 + 209 + 27 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41972220927001) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 1923820092 + ... + 1923841908.

It is an arithmetic number, because the mean of its divisors is an integer number (104629037175).

Almost surely, 2^{41972220927000} is an apocalyptic number.

41972220927000 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 41972220927000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93747617308800).

41972220927000 is an abundant number, since it is smaller than the sum of its proper divisors (145523013690600).

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

41972220927000 is a wasteful number, since it uses less digits than its factorization.

41972220927000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21905 (or 21876 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 41972220927000 in words is "forty-one trillion, nine hundred seventy-two billion, two hundred twenty million, nine hundred twenty-seven thousand".