4040032320 has 672 divisors, whose sum is σ = 16004926080. Its totient is φ = 928972800.

The previous prime is 4040032307. The next prime is 4040032333. The reversal of 4040032320 is 232300404.

It is an interprime number because it is at equal distance from previous prime (4040032307) and next prime (4040032333).

It is a super-2 number, since 2×4040032320² = 32643722293289164800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4040032293 and 4040032302.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40000270 + ... + 40000370.

Almost surely, 2^4040032320 is an apocalyptic number.

4040032320 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 4040032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8002463040).

4040032320 is an abundant number, since it is smaller than the sum of its proper divisors (11964893760).

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

4040032320 is a wasteful number, since it uses less digits than its factorization.

4040032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 4040032320 is about 63561.2485717516. The cubic root of 4040032320 is about 1592.6790954795.

Adding to 4040032320 its reverse (232300404), we get a palindrome (4272332724).

The spelling of 4040032320 in words is "four billion, forty million, thirty-two thousand, three hundred twenty".