4313964960 has 192 divisors, whose sum is σ = 15586421760. Its totient is φ = 1113246720.

The previous prime is 4313964917. The next prime is 4313964973. The reversal of 4313964960 is 694693134.

It is a super-2 number, since 2×4313964960² = 37220587352215603200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117814 + ... + 150026.

It is an arithmetic number, because the mean of its divisors is an integer number (81179280).

Almost surely, 2^4313964960 is an apocalyptic number.

4313964960 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 4313964960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7793210880).

4313964960 is an abundant number, since it is smaller than the sum of its proper divisors (11272456800).

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

4313964960 is a wasteful number, since it uses less digits than its factorization.

4313964960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32268 (or 32254 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 4313964960 is about 65680.7807505361. The cubic root of 4313964960 is about 1627.8918082351.

The spelling of 4313964960 in words is "four billion, three hundred thirteen million, nine hundred sixty-four thousand, nine hundred sixty".