4163730480 has 800 divisors, whose sum is σ = 18632807424. Its totient is φ = 837568512.

The previous prime is 4163730479. The next prime is 4163730481. The reversal of 4163730480 is 840373614.

4163730480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4163730479) and next prime (4163730481).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (4163730481) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13562487 + ... + 13562793.

Almost surely, 2^4163730480 is an apocalyptic number.

4163730480 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 4163730480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9316403712).

4163730480 is an abundant number, since it is smaller than the sum of its proper divisors (14469076944).

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

4163730480 is a wasteful number, since it uses less digits than its factorization.

4163730480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4163730480 is about 64526.9748244872. The cubic root of 4163730480 is about 1608.7709045811.

The spelling of 4163730480 in words is "four billion, one hundred sixty-three million, seven hundred thirty thousand, four hundred eighty".