4748401440 has 480 divisors, whose sum is σ = 17703899136. Its totient is φ = 1196881920.

The previous prime is 4748401439. The next prime is 4748401459. The reversal of 4748401440 is 441048474.

4748401440 is a `hidden beast` number, since 474 + 8 + 40 + 144 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 4748401395 and 4748401404.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21293169 + ... + 21293391.

Almost surely, 2^4748401440 is an apocalyptic number.

4748401440 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 4748401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8851949568).

4748401440 is an abundant number, since it is smaller than the sum of its proper divisors (12955497696).

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

4748401440 is a wasteful number, since it uses less digits than its factorization.

4748401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The square root of 4748401440 is about 68908.6456114180. The cubic root of 4748401440 is about 1680.7991096308.

The spelling of 4748401440 in words is "four billion, seven hundred forty-eight million, four hundred one thousand, four hundred forty".