40813920 has 144 divisors (see below), whose sum is σ = 159213600. Its totient is φ = 9326592.

The previous prime is 40813909. The next prime is 40813939. The reversal of 40813920 is 2931804.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8056 + ... + 12104.

It is an arithmetic number, because the mean of its divisors is an integer number (1105650).

Almost surely, 2^40813920 is an apocalyptic number.

40813920 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 40813920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79606800).

40813920 is an abundant number, since it is smaller than the sum of its proper divisors (118399680).

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

40813920 is a wasteful number, since it uses less digits than its factorization.

40813920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4077 (or 4066 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 40813920 is about 6388.5773064118. The cubic root of 40813920 is about 344.2992708450.

It can be divided in two parts, 4081 and 3920, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 40813920 in words is "forty million, eight hundred thirteen thousand, nine hundred twenty".