4045414320 has 160 divisors (see below), whose sum is σ = 14013388800. Its totient is φ = 1072647936.

The previous prime is 4045414309. The next prime is 4045414349. The reversal of 4045414320 is 234145404.

It is a happy number.

It is a super-2 number, since 2×4045414320² = 32730754040922124800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381409 + ... + 391871.

It is an arithmetic number, because the mean of its divisors is an integer number (87583680).

Almost surely, 2^4045414320 is an apocalyptic number.

4045414320 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 4045414320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7006694400).

4045414320 is an abundant number, since it is smaller than the sum of its proper divisors (9967974480).

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

4045414320 is a wasteful number, since it uses less digits than its factorization.

4045414320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10664 (or 10652 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4045414320 is about 63603.5715978277. The cubic root of 4045414320 is about 1593.3860201334.

Adding to 4045414320 its reverse (234145404), we get a palindrome (4279559724).

The spelling of 4045414320 in words is "four billion, forty-five million, four hundred fourteen thousand, three hundred twenty".