41874213294144 has 672 divisors, whose sum is σ = 156466723725312. Its totient is φ = 10876381401600.

The previous prime is 41874213294143. The next prime is 41874213294181. The reversal of 41874213294144 is 44149231247814.

41874213294144 is a `hidden beast` number, since 4 + 1 + 8 + 7 + 4 + 213 + 2 + 9 + 414 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×41874213294144² (a number of 28 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (41874213294143) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 144753489 + ... + 145042479.

It is an arithmetic number, because the mean of its divisors is an integer number (232837386496).

Almost surely, 2^{41874213294144} is an apocalyptic number.

41874213294144 is a gapful number since it is divisible by the number (44) 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 41874213294144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78233361862656).

41874213294144 is an abundant number, since it is smaller than the sum of its proper divisors (114592510431168).

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

41874213294144 is an equidigital number, since it uses as much as digits as its factorization.

41874213294144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289058 (or 289014 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 41874213294144 in words is "forty-one trillion, eight hundred seventy-four billion, two hundred thirteen million, two hundred ninety-four thousand, one hundred forty-four".