4046955264 has 576 divisors, whose sum is σ = 14410690560. Its totient is φ = 1105920000.

The previous prime is 4046955221. The next prime is 4046955299. The reversal of 4046955264 is 4625596404.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40068814 + ... + 40068914.

It is an arithmetic number, because the mean of its divisors is an integer number (25018560).

Almost surely, 2^4046955264 is an apocalyptic number.

4046955264 is a gapful number since it is divisible by the number (44) 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 4046955264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7205345280).

4046955264 is an abundant number, since it is smaller than the sum of its proper divisors (10363735296).

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

4046955264 is a wasteful number, since it uses less digits than its factorization.

4046955264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 4046955264 is about 63615.6841038434. The cubic root of 4046955264 is about 1593.5883073609.

The spelling of 4046955264 in words is "four billion, forty-six million, nine hundred fifty-five thousand, two hundred sixty-four".