40385120 has 48 divisors (see below), whose sum is σ = 96027120. Its totient is φ = 16049664.

The previous prime is 40385119. The next prime is 40385129. The reversal of 40385120 is 2158304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40385129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26951 + ... + 28409.

It is an arithmetic number, because the mean of its divisors is an integer number (2000565).

Almost surely, 2^40385120 is an apocalyptic number.

40385120 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 40385120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48013560).

40385120 is an abundant number, since it is smaller than the sum of its proper divisors (55642000).

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

40385120 is a wasteful number, since it uses less digits than its factorization.

40385120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 40385120 is about 6354.9287958245. The cubic root of 40385120 is about 343.0892621286.

The spelling of 40385120 in words is "forty million, three hundred eighty-five thousand, one hundred twenty".