4881430400 has 288 divisors, whose sum is σ = 15156477840. Its totient is φ = 1520640000.

The previous prime is 4881430397. The next prime is 4881430403. The reversal of 4881430400 is 40341884.

It is an interprime number because it is at equal distance from previous prime (4881430397) and next prime (4881430403).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4881430403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2709500 + ... + 2711300.

Almost surely, 2^4881430400 is an apocalyptic number.

4881430400 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 4881430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7578238920).

4881430400 is an abundant number, since it is smaller than the sum of its proper divisors (10275047440).

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

4881430400 is a wasteful number, since it uses less digits than its factorization.

4881430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 4881430400 is about 69867.2340943879. The cubic root of 4881430400 is about 1696.3509271457.

The spelling of 4881430400 in words is "four billion, eight hundred eighty-one million, four hundred thirty thousand, four hundred".