40302120 has 64 divisors (see below), whose sum is σ = 121461120. Its totient is φ = 10697984.

The previous prime is 40302113. The next prime is 40302127. The reversal of 40302120 is 2120304.

40302120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40302113) and next prime (40302127).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 40302096 and 40302105.

It is not an unprimeable number, because it can be changed into a prime (40302127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30922 + ... + 32198.

It is an arithmetic number, because the mean of its divisors is an integer number (1897830).

Almost surely, 2^40302120 is an apocalyptic number.

40302120 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 40302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60730560).

40302120 is an abundant number, since it is smaller than the sum of its proper divisors (81159000).

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

40302120 is a wasteful number, since it uses less digits than its factorization.

40302120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 40302120 is about 6348.3950727723. The cubic root of 40302120 is about 342.8540604882.

Adding to 40302120 its reverse (2120304), we get a palindrome (42422424).

The spelling of 40302120 in words is "forty million, three hundred two thousand, one hundred twenty".