40384320 has 224 divisors, whose sum is σ = 140451840. Its totient is φ = 9799680.

The previous prime is 40384319. The next prime is 40384321. The reversal of 40384320 is 2348304.

It is an interprime number because it is at equal distance from previous prime (40384319) and next prime (40384321).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40384321) 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, 684451 + ... + 684509.

Almost surely, 2^40384320 is an apocalyptic number.

40384320 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 40384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70225920).

40384320 is an abundant number, since it is smaller than the sum of its proper divisors (100067520).

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

40384320 is a wasteful number, since it uses less digits than its factorization.

40384320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 40384320 is about 6354.8658522427. The cubic root of 40384320 is about 343.0869966636.

It can be divided in two parts, 40384 and 320, that added together give a palindrome (40704).

The spelling of 40384320 in words is "forty million, three hundred eighty-four thousand, three hundred twenty".