5209345440 has 768 divisors, whose sum is σ = 21235737600. Its totient is φ = 1182449664.

The previous prime is 5209345433. The next prime is 5209345459. The reversal of 5209345440 is 445439025.

It is a happy number.

5209345440 is a `hidden beast` number, since 5 + 20 + 93 + 4 + 544 + 0 = 666.

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 = 5209345395 and 5209345404.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47792106 + ... + 47792214.

It is an arithmetic number, because the mean of its divisors is an integer number (27650700).

Almost surely, 2^5209345440 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 5209345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10617868800).

5209345440 is an abundant number, since it is smaller than the sum of its proper divisors (16026392160).

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

5209345440 is a wasteful number, since it uses less digits than its factorization.

5209345440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5209345440 is about 72175.7953887590. The cubic root of 5209345440 is about 1733.5154594953.

The spelling of 5209345440 in words is "five billion, two hundred nine million, three hundred forty-five thousand, four hundred forty".