4948912800 has 432 divisors, whose sum is σ = 19314935640. Its totient is φ = 1184440320.

The previous prime is 4948912753. The next prime is 4948912811. The reversal of 4948912800 is 82198494.

4948912800 is a `hidden beast` number, since 49 + 489 + 128 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2322576 + 4946590224 = 1524^2 + 70332^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3462486 + ... + 3463914.

Almost surely, 2^4948912800 is an apocalyptic number.

4948912800 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 4948912800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9657467820).

4948912800 is an abundant number, since it is smaller than the sum of its proper divisors (14366022840).

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

4948912800 is a wasteful number, since it uses less digits than its factorization.

4948912800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 4948912800 is about 70348.5095790949. The cubic root of 4948912800 is about 1704.1321394585.

The spelling of 4948912800 in words is "four billion, nine hundred forty-eight million, nine hundred twelve thousand, eight hundred".