5208402457440 has 1536 divisors, whose sum is σ = 22951422627840. Its totient is φ = 1073855397888.

The previous prime is 5208402457417. The next prime is 5208402457441. The reversal of 5208402457440 is 447542048025.

5208402457440 is a `hidden beast` number, since 52 + 0 + 8 + 4 + 0 + 24 + 574 + 4 + 0 = 666.

It is a super-2 number, since 2×5208402457440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5208402457441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9521759247 + ... + 9521759793.

It is an arithmetic number, because the mean of its divisors is an integer number (14942332440).

Almost surely, 2^{5208402457440} 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 5208402457440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11475711313920).

5208402457440 is an abundant number, since it is smaller than the sum of its proper divisors (17743020170400).

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

5208402457440 is a wasteful number, since it uses less digits than its factorization.

5208402457440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 1433600, while the sum is 45.

The spelling of 5208402457440 in words is "five trillion, two hundred eight billion, four hundred two million, four hundred fifty-seven thousand, four hundred forty".