4881254400 has 720 divisors, whose sum is σ = 19907007120. Its totient is φ = 1172275200.

The previous prime is 4881254383. The next prime is 4881254407. The reversal of 4881254400 is 44521884.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4881254407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 45619147 + ... + 45619253.

It is an arithmetic number, because the mean of its divisors is an integer number (27648621).

Almost surely, 2^4881254400 is an apocalyptic number.

4881254400 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 4881254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9953503560).

4881254400 is an abundant number, since it is smaller than the sum of its proper divisors (15025752720).

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

4881254400 is a wasteful number, since it uses less digits than its factorization.

4881254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 4881254400 is about 69865.9745512793. The cubic root of 4881254400 is about 1696.3305395867.

The spelling of 4881254400 in words is "four billion, eight hundred eighty-one million, two hundred fifty-four thousand, four hundred".