41929920 has 224 divisors, whose sum is σ = 155082240. Its totient is φ = 10644480.

The previous prime is 41929913. The next prime is 41929963. The reversal of 41929920 is 2992914.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 198615 + ... + 198825.

Almost surely, 2^41929920 is an apocalyptic number.

41929920 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 41929920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77541120).

41929920 is an abundant number, since it is smaller than the sum of its proper divisors (113152320).

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

41929920 is a wasteful number, since it uses less digits than its factorization.

41929920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 41929920 is about 6475.3316517380. The cubic root of 41929920 is about 347.4092235672.

It can be divided in two parts, 41929 and 920, that added together give a square (42849 = 207²).

The spelling of 41929920 in words is "forty-one million, nine hundred twenty-nine thousand, nine hundred twenty".