40641920 has 128 divisors (see below), whose sum is σ = 111041280. Its totient is φ = 14080000.

The previous prime is 40641911. The next prime is 40641929. The reversal of 40641920 is 2914604.

It is an interprime number because it is at equal distance from previous prime (40641911) and next prime (40641929).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×40641920² = 3303531322572800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40641920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40641929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161795 + ... + 162045.

It is an arithmetic number, because the mean of its divisors is an integer number (867510).

Almost surely, 2^40641920 is an apocalyptic number.

40641920 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 40641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55520640).

40641920 is an abundant number, since it is smaller than the sum of its proper divisors (70399360).

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

40641920 is a wasteful number, since it uses less digits than its factorization.

40641920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 40641920 is about 6375.1015678184. The cubic root of 40641920 is about 343.8149356114.

The spelling of 40641920 in words is "forty million, six hundred forty-one thousand, nine hundred twenty".