4748409559440 has 280 divisors, whose sum is σ = 16581712686840. Its totient is φ = 1264008333312.

The previous prime is 4748409559433. The next prime is 4748409559447. The reversal of 4748409559440 is 449559048474.

4748409559440 is a `hidden beast` number, since 4 + 74 + 8 + 4 + 0 + 9 + 559 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4748409559433) and next prime (4748409559447).

It can be written as a sum of positive squares in 4 ways, for example, as 83276107776 + 4665133451664 = 288576^2 + 2159892^2 .

It is a super-2 number, since 2×4748409559440² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4748409559447) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 33112534 + ... + 33255626.

It is an arithmetic number, because the mean of its divisors is an integer number (59220402453).

Almost surely, 2^{4748409559440} is an apocalyptic number.

4748409559440 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 4748409559440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8290856343420).

4748409559440 is an abundant number, since it is smaller than the sum of its proper divisors (11833303127400).

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

4748409559440 is a wasteful number, since it uses less digits than its factorization.

4748409559440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143693 (or 143672 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 4748409559440 in words is "four trillion, seven hundred forty-eight billion, four hundred nine million, five hundred fifty-nine thousand, four hundred forty".