40312320 has 160 divisors (see below), whose sum is σ = 134053920. Its totient is φ = 10321920.

The previous prime is 40312313. The next prime is 40312343. The reversal of 40312320 is 2321304.

It is a tau number, because it is divible by the number of its divisors (160).

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 40312320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222630 + ... + 222810.

It is an arithmetic number, because the mean of its divisors is an integer number (837837).

Almost surely, 2^40312320 is an apocalyptic number.

40312320 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 40312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67026960).

40312320 is an abundant number, since it is smaller than the sum of its proper divisors (93741600).

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

40312320 is a wasteful number, since it uses less digits than its factorization.

40312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 40312320 is about 6349.1983745982. The cubic root of 40312320 is about 342.8829821796.

Adding to 40312320 its reverse (2321304), we get a palindrome (42633624).

The spelling of 40312320 in words is "forty million, three hundred twelve thousand, three hundred twenty".