4070730240 has 480 divisors, whose sum is σ = 15741760320. Its totient is φ = 966131712.

The previous prime is 4070730199. The next prime is 4070730281. The reversal of 4070730240 is 420370704.

It is an interprime number because it is at equal distance from previous prime (4070730199) and next prime (4070730281).

It is a tau number, because it is divible by the number of its divisors (480).

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, 7441647 + ... + 7442193.

It is an arithmetic number, because the mean of its divisors is an integer number (32795334).

Almost surely, 2^4070730240 is an apocalyptic number.

4070730240 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 4070730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7870880160).

4070730240 is an abundant number, since it is smaller than the sum of its proper divisors (11671030080).

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

4070730240 is a wasteful number, since it uses less digits than its factorization.

4070730240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 4070730240 is about 63802.2745676046. The cubic root of 4070730240 is about 1596.7028769460.

The spelling of 4070730240 in words is "four billion, seventy million, seven hundred thirty thousand, two hundred forty".