41190288283872 has 384 divisors, whose sum is σ = 148688672025600. Its totient is φ = 10802679810048.

The previous prime is 41190288283847. The next prime is 41190288283883. The reversal of 41190288283872 is 27838288209114.

41190288283872 is a `hidden beast` number, since 4 + 1 + 1 + 9 + 0 + 288 + 283 + 8 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12610318 + ... + 15537074.

It is an arithmetic number, because the mean of its divisors is an integer number (387210083400).

Almost surely, 2^{41190288283872} is an apocalyptic number.

41190288283872 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 41190288283872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74344336012800).

41190288283872 is an abundant number, since it is smaller than the sum of its proper divisors (107498383741728).

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

41190288283872 is a wasteful number, since it uses less digits than its factorization.

41190288283872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926975 (or 2926961 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 41190288283872 in words is "forty-one trillion, one hundred ninety billion, two hundred eighty-eight million, two hundred eighty-three thousand, eight hundred seventy-two".