4801969440 has 384 divisors, whose sum is σ = 18114969600. Its totient is φ = 1184578560.

The previous prime is 4801969421. The next prime is 4801969451. The reversal of 4801969440 is 449691084.

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 63 ways as a sum of consecutive naturals, for example, 3079381 + ... + 3080939.

It is an arithmetic number, because the mean of its divisors is an integer number (47174400).

Almost surely, 2^4801969440 is an apocalyptic number.

4801969440 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 4801969440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9057484800).

4801969440 is an abundant number, since it is smaller than the sum of its proper divisors (13313000160).

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

4801969440 is a wasteful number, since it uses less digits than its factorization.

4801969440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4801969440 is about 69296.2440540611. The cubic root of 4801969440 is about 1687.0960060061.

The spelling of 4801969440 in words is "four billion, eight hundred one million, nine hundred sixty-nine thousand, four hundred forty".