4495948800 has 264 divisors, whose sum is σ = 16984139136. Its totient is φ = 1027522560.

The previous prime is 4495948799. The next prime is 4495948823. The reversal of 4495948800 is 88495944.

It is a super-3 number, since 3×4495948800³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 533419 + ... + 541781.

Almost surely, 2^4495948800 is an apocalyptic number.

4495948800 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 4495948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8492069568).

4495948800 is an abundant number, since it is smaller than the sum of its proper divisors (12488190336).

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

4495948800 is a wasteful number, since it uses less digits than its factorization.

4495948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8403 (or 8380 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The square root of 4495948800 is about 67051.8366638827. The cubic root of 4495948800 is about 1650.4680398585.

The spelling of 4495948800 in words is "four billion, four hundred ninety-five million, nine hundred forty-eight thousand, eight hundred".