41669679744 has 1024 divisors, whose sum is σ = 166103654400. Its totient is φ = 9953280000.

The previous prime is 41669679731. The next prime is 41669679767. The reversal of 41669679744 is 44797696614.

41669679744 is a `hidden beast` number, since 416 + 6 + 96 + 7 + 97 + 44 = 666.

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

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

Its product of digits (54867456) is a multiple of the sum of its prime divisors (252).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 275958069 + ... + 275958219.

It is an arithmetic number, because the mean of its divisors is an integer number (162210600).

Almost surely, 2^41669679744 is an apocalyptic number.

41669679744 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 41669679744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83051827200).

41669679744 is an abundant number, since it is smaller than the sum of its proper divisors (124433974656).

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

41669679744 is a wasteful number, since it uses less digits than its factorization.

41669679744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 252 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The spelling of 41669679744 in words is "forty-one billion, six hundred sixty-nine million, six hundred seventy-nine thousand, seven hundred forty-four".