41649920 has 72 divisors (see below), whose sum is σ = 107481696. Its totient is φ = 15372288.

The previous prime is 41649917. The next prime is 41649961. The reversal of 41649920 is 2994614.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15389 + ... + 17891.

Almost surely, 2^41649920 is an apocalyptic number.

41649920 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 41649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53740848).

41649920 is an abundant number, since it is smaller than the sum of its proper divisors (65831776).

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

41649920 is a wasteful number, since it uses less digits than its factorization.

41649920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2537 (or 2523 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 41649920 is about 6453.6749220890. The cubic root of 41649920 is about 346.6341849908.

The spelling of 41649920 in words is "forty-one million, six hundred forty-nine thousand, nine hundred twenty".