5203981440 has 384 divisors, whose sum is σ = 21621225600. Its totient is φ = 1126711296.

The previous prime is 5203981427. The next prime is 5203981463. The reversal of 5203981440 is 441893025.

5203981440 is a `hidden beast` number, since 5 + 203 + 9 + 8 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 5203981395 and 5203981404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 762684 + ... + 769476.

It is an arithmetic number, because the mean of its divisors is an integer number (56305275).

Almost surely, 2^5203981440 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 5203981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10810612800).

5203981440 is an abundant number, since it is smaller than the sum of its proper divisors (16417244160).

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

5203981440 is a wasteful number, since it uses less digits than its factorization.

5203981440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6844 (or 6829 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5203981440 is about 72138.6265463933. The cubic root of 5203981440 is about 1732.9202618578.

The spelling of 5203981440 in words is "five billion, two hundred three million, nine hundred eighty-one thousand, four hundred forty".