4240414320 has 80 divisors (see below), whose sum is σ = 13716836352. Its totient is φ = 1081611520.

The previous prime is 4240414309. The next prime is 4240414327. The reversal of 4240414320 is 234140424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4240414320² = 35962227210522124800, which contains 22 as substring.

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 (4240414327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378576 + ... + 389615.

Almost surely, 2^4240414320 is an apocalyptic number.

4240414320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4240414320 is an abundant number, since it is smaller than the sum of its proper divisors (9476422032).

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

4240414320 is a wasteful number, since it uses less digits than its factorization.

4240414320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768230 (or 768224 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4240414320 is about 65118.4637410927. The cubic root of 4240414320 is about 1618.5871846302.

Adding to 4240414320 its reverse (234140424), we get a palindrome (4474554744).

The spelling of 4240414320 in words is "four billion, two hundred forty million, four hundred fourteen thousand, three hundred twenty".