4309881264 has 320 divisors, whose sum is σ = 14165760000. Its totient is φ = 1251065088.

The previous prime is 4309881241. The next prime is 4309881269. The reversal of 4309881264 is 4621889034.

It is a happy number.

4309881264 is a `hidden beast` number, since 4 + 309 + 8 + 81 + 264 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4309881269) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18032857 + ... + 18033095.

It is an arithmetic number, because the mean of its divisors is an integer number (44268000).

Almost surely, 2^4309881264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4309881264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7082880000).

4309881264 is an abundant number, since it is smaller than the sum of its proper divisors (9855878736).

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

4309881264 is a wasteful number, since it uses less digits than its factorization.

4309881264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 4309881264 is about 65649.6859398429. The cubic root of 4309881264 is about 1627.3779797665.

The spelling of 4309881264 in words is "four billion, three hundred nine million, eight hundred eighty-one thousand, two hundred sixty-four".