4888401408 has 640 divisors, whose sum is σ = 17536020480. Its totient is φ = 1327104000.

The previous prime is 4888401407. The next prime is 4888401433. The reversal of 4888401408 is 8041048884.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4888401407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80137698 + ... + 80137758.

It is an arithmetic number, because the mean of its divisors is an integer number (27400032).

Almost surely, 2^4888401408 is an apocalyptic number.

4888401408 is a gapful number since it is divisible by the number (48) 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 4888401408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8768010240).

4888401408 is an abundant number, since it is smaller than the sum of its proper divisors (12647619072).

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

4888401408 is a wasteful number, since it uses less digits than its factorization.

4888401408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The square root of 4888401408 is about 69917.1038301788. The cubic root of 4888401408 is about 1697.1580437955.

The spelling of 4888401408 in words is "four billion, eight hundred eighty-eight million, four hundred one thousand, four hundred eight".