4953312000 has 1296 divisors, whose sum is σ = 23155265952. Its totient is φ = 1045094400.

The previous prime is 4953311983. The next prime is 4953312047. The reversal of 4953312000 is 2133594.

4953312000 is a `hidden beast` number, since 4 + 9 + 533 + 120 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 381023994 + ... + 381024006.

Almost surely, 2^4953312000 is an apocalyptic number.

4953312000 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 4953312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11577632976).

4953312000 is an abundant number, since it is smaller than the sum of its proper divisors (18201953952).

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

4953312000 is an equidigital number, since it uses as much as digits as its factorization.

4953312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 4953312000 is about 70379.7698205955. The cubic root of 4953312000 is about 1704.6369370537.

Adding to 4953312000 its reverse (2133594), we get a palindrome (4955445594).

The spelling of 4953312000 in words is "four billion, nine hundred fifty-three million, three hundred twelve thousand".