4314967488 has 252 divisors, whose sum is σ = 14103568440. Its totient is φ = 1257265152.

The previous prime is 4314967477. The next prime is 4314967499. The reversal of 4314967488 is 8847694134.

4314967488 is a `hidden beast` number, since 4 + 3 + 1 + 496 + 74 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (4314967477) and next prime (4314967499).

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 35 ways as a sum of consecutive naturals, for example, 1848370 + ... + 1850702.

Almost surely, 2^4314967488 is an apocalyptic number.

4314967488 is a gapful number since it is divisible by the number (48) 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 4314967488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7051784220).

4314967488 is an abundant number, since it is smaller than the sum of its proper divisors (9788600952).

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

4314967488 is a wasteful number, since it uses less digits than its factorization.

4314967488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396 (or 2370 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 4314967488 is about 65688.4121287766. The cubic root of 4314967488 is about 1628.0179011085.

The spelling of 4314967488 in words is "four billion, three hundred fourteen million, nine hundred sixty-seven thousand, four hundred eighty-eight".