5201000013440 has 256 divisors, whose sum is σ = 15505249132800. Its totient is φ = 1620717895680.

The previous prime is 5201000013389. The next prime is 5201000013457. The reversal of 5201000013440 is 443100001025.

It is a super-2 number, since 2×5201000013440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279359012 + ... + 279377628.

It is an arithmetic number, because the mean of its divisors is an integer number (60567379425).

Almost surely, 2^{5201000013440} 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 5201000013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7752624566400).

5201000013440 is an abundant number, since it is smaller than the sum of its proper divisors (10304249119360).

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

5201000013440 is a wasteful number, since it uses less digits than its factorization.

5201000013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24323 (or 24311 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 5201000013440 its reverse (443100001025), we get a palindrome (5644100014465).

The spelling of 5201000013440 in words is "five trillion, two hundred one billion, thirteen thousand, four hundred forty".