4315164480 has 672 divisors, whose sum is σ = 17459919360. Its totient is φ = 967127040.

The previous prime is 4315164467. The next prime is 4315164493. The reversal of 4315164480 is 844615134.

4315164480 is a `hidden beast` number, since 4 + 3 + 1 + 5 + 1 + 644 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4315164467) and next prime (4315164493).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40328587 + ... + 40328693.

Almost surely, 2^4315164480 is an apocalyptic number.

4315164480 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 4315164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8729959680).

4315164480 is an abundant number, since it is smaller than the sum of its proper divisors (13144754880).

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

4315164480 is a wasteful number, since it uses less digits than its factorization.

4315164480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4315164480 is about 65689.9115542105. The cubic root of 4315164480 is about 1628.0426754645.

The spelling of 4315164480 in words is "four billion, three hundred fifteen million, one hundred sixty-four thousand, four hundred eighty".