5047781440 has 224 divisors, whose sum is σ = 13832640864. Its totient is φ = 1738014720.

The previous prime is 5047781437. The next prime is 5047781467. The reversal of 5047781440 is 441877405.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1504198656 + 3543582784 = 38784^2 + 59528^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 5047781393 and 5047781402.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9688380 + ... + 9688900.

It is an arithmetic number, because the mean of its divisors is an integer number (61752861).

Almost surely, 2^5047781440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5047781440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6916320432).

5047781440 is an abundant number, since it is smaller than the sum of its proper divisors (8784859424).

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

5047781440 is a wasteful number, since it uses less digits than its factorization.

5047781440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 40.

The square root of 5047781440 is about 71047.7405692820. The cubic root of 5047781440 is about 1715.4056946938.

The spelling of 5047781440 in words is "five billion, forty-seven million, seven hundred eighty-one thousand, four hundred forty".