4365241920 has 168 divisors, whose sum is σ = 16169722296. Its totient is φ = 1074511872.

The previous prime is 4365241913. The next prime is 4365241931. The reversal of 4365241920 is 291425634.

It is a happy number.

4365241920 is a `hidden beast` number, since 43 + 6 + 524 + 1 + 92 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2903616 + 4362338304 = 1704^2 + 66048^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20857 + ... + 95736.

It is an arithmetic number, because the mean of its divisors is an integer number (96248347).

Almost surely, 2^4365241920 is an apocalyptic number.

4365241920 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 4365241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8084861148).

4365241920 is an abundant number, since it is smaller than the sum of its proper divisors (11804480376).

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

4365241920 is a wasteful number, since it uses less digits than its factorization.

4365241920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116629 (or 116616 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4365241920 is about 66069.9774481572. The cubic root of 4365241920 is about 1634.3162755766.

The spelling of 4365241920 in words is "four billion, three hundred sixty-five million, two hundred forty-one thousand, nine hundred twenty".