4519704240 has 240 divisors, whose sum is σ = 16178393088. Its totient is φ = 1128129024.

The previous prime is 4519704223. The next prime is 4519704257. The reversal of 4519704240 is 424079154.

It is a happy number.

4519704240 is a `hidden beast` number, since 45 + 197 + 0 + 424 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4519704223) and next prime (4519704257).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 4519704195 and 4519704204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 775417 + ... + 781223.

Almost surely, 2^4519704240 is an apocalyptic number.

4519704240 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 4519704240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8089196544).

4519704240 is an abundant number, since it is smaller than the sum of its proper divisors (11658688848).

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

4519704240 is a wasteful number, since it uses less digits than its factorization.

4519704240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5896 (or 5887 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4519704240 is about 67228.7456375619. The cubic root of 4519704240 is about 1653.3698183213.

The spelling of 4519704240 in words is "four billion, five hundred nineteen million, seven hundred four thousand, two hundred forty".