40314120 has 128 divisors (see below), whose sum is σ = 150819840. Its totient is φ = 8375040.

The previous prime is 40314103. The next prime is 40314121. The reversal of 40314120 is 2141304.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 40314120.

It is not an unprimeable number, because it can be changed into a prime (40314121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7059 + ... + 11421.

It is an arithmetic number, because the mean of its divisors is an integer number (1178280).

Almost surely, 2^40314120 is an apocalyptic number.

40314120 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 40314120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75409920).

40314120 is an abundant number, since it is smaller than the sum of its proper divisors (110505720).

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

40314120 is a wasteful number, since it uses less digits than its factorization.

40314120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4395 (or 4391 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 40314120 is about 6349.3401231939. The cubic root of 40314120 is about 342.8880855010. Note that the first 3 decimals are identical.

Adding to 40314120 its reverse (2141304), we get a palindrome (42455424).

The spelling of 40314120 in words is "forty million, three hundred fourteen thousand, one hundred twenty".