5413734440520 has 512 divisors, whose sum is σ = 19342905753600. Its totient is φ = 1186466291712.

The previous prime is 5413734440461. The next prime is 5413734440531. The reversal of 5413734440520 is 250444373145.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1793219571 + ... + 1793222589.

It is an arithmetic number, because the mean of its divisors is an integer number (37779112800).

Almost surely, 2^{5413734440520} 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 5413734440520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9671452876800).

5413734440520 is an abundant number, since it is smaller than the sum of its proper divisors (13929171313080).

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

5413734440520 is a wasteful number, since it uses less digits than its factorization.

5413734440520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3997 (or 3993 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 42.

The spelling of 5413734440520 in words is "five trillion, four hundred thirteen billion, seven hundred thirty-four million, four hundred forty thousand, five hundred twenty".