41829424851408 has 160 divisors (see below), whose sum is σ = 117531673991424. Its totient is φ = 12765720600576.

The previous prime is 41829424851407. The next prime is 41829424851439. The reversal of 41829424851408 is 80415842492814.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41829424851407) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 153148341 + ... + 153421227.

Almost surely, 2^{41829424851408} is an apocalyptic number.

41829424851408 is a gapful number since it is divisible by the number (48) 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 41829424851408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58765836995712).

41829424851408 is an abundant number, since it is smaller than the sum of its proper divisors (75702249140016).

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

41829424851408 is a wasteful number, since it uses less digits than its factorization.

41829424851408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278029 (or 278023 counting only the distinct ones).

The product of its (nonzero) digits is 23592960, while the sum is 60.

The spelling of 41829424851408 in words is "forty-one trillion, eight hundred twenty-nine billion, four hundred twenty-four million, eight hundred fifty-one thousand, four hundred eight".