4414948000 has 48 divisors (see below), whose sum is σ = 10847537064. Its totient is φ = 1765977600.

The previous prime is 4414947967. The next prime is 4414948007. The reversal of 4414948000 is 8494144.

It can be written as a sum of positive squares in 4 ways, for example, as 1404450576 + 3010497424 = 37476^2 + 54868^2 .

It is not an unprimeable number, because it can be changed into a prime (4414948007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 547869 + ... + 555868.

Almost surely, 2^4414948000 is an apocalyptic number.

4414948000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4414948000 is an abundant number, since it is smaller than the sum of its proper divisors (6432589064).

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

4414948000 is a wasteful number, since it uses less digits than its factorization.

4414948000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103762 (or 1103744 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 4414948000 is about 66445.0750620390. The cubic root of 4414948000 is about 1640.4960823267.

The spelling of 4414948000 in words is "four billion, four hundred fourteen million, nine hundred forty-eight thousand".