41995862251200 has 5376 divisors, whose sum is σ = 196812003225600. Its totient is φ = 8671297536000.

The previous prime is 41995862251181. The next prime is 41995862251207. The reversal of 41995862251200 is 215226859914.

41995862251200 is a `hidden beast` number, since 4 + 1 + 9 + 9 + 5 + 8 + 622 + 5 + 1 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (41995862251207) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 471863620756 + ... + 471863620844.

It is an arithmetic number, because the mean of its divisors is an integer number (36609375600).

Almost surely, 2^{41995862251200} is an apocalyptic number.

41995862251200 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 41995862251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98406001612800).

41995862251200 is an abundant number, since it is smaller than the sum of its proper divisors (154816140974400).

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

41995862251200 is a wasteful number, since it uses less digits than its factorization.

41995862251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 41995862251200 in words is "forty-one trillion, nine hundred ninety-five billion, eight hundred sixty-two million, two hundred fifty-one thousand, two hundred".