4814470080 has 336 divisors, whose sum is σ = 19080382464. Its totient is φ = 1091450880.

The previous prime is 4814470039. The next prime is 4814470093. The reversal of 4814470080 is 800744184.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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 a congruent number.

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, 2640049 + ... + 2641871.

Almost surely, 2^4814470080 is an apocalyptic number.

4814470080 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 4814470080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9540191232).

4814470080 is an abundant number, since it is smaller than the sum of its proper divisors (14265912384).

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

4814470080 is a wasteful number, since it uses less digits than its factorization.

4814470080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 4814470080 is about 69386.3825256801. The cubic root of 4814470080 is about 1688.5587048682.

The spelling of 4814470080 in words is "four billion, eight hundred fourteen million, four hundred seventy thousand, eighty".