41879040 has 320 divisors, whose sum is σ = 164989440. Its totient is φ = 8847360.

The previous prime is 41879029. The next prime is 41879077. The reversal of 41879040 is 4097814.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 41878992 and 41879010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1021420 + ... + 1021460.

It is an arithmetic number, because the mean of its divisors is an integer number (515592).

Almost surely, 2^41879040 is an apocalyptic number.

41879040 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 41879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82494720).

41879040 is an abundant number, since it is smaller than the sum of its proper divisors (123110400).

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

41879040 is a wasteful number, since it uses less digits than its factorization.

41879040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 41879040 is about 6471.4017028771. The cubic root of 41879040 is about 347.2686450666.

The spelling of 41879040 in words is "forty-one million, eight hundred seventy-nine thousand, forty".