5013445301040 has 960 divisors, whose sum is σ = 19112871697920. Its totient is φ = 1079532748800.

The previous prime is 5013445300943. The next prime is 5013445301093. The reversal of 5013445301040 is 401035443105.

It is a super-3 number, since 3×5013445301040³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5013445300989 and 5013445301007.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2879634570 + ... + 2879636310.

It is an arithmetic number, because the mean of its divisors is an integer number (19909241352).

Almost surely, 2^{5013445301040} 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 5013445301040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9556435848960).

5013445301040 is an abundant number, since it is smaller than the sum of its proper divisors (14099426396880).

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

5013445301040 is a wasteful number, since it uses less digits than its factorization.

5013445301040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 5013445301040 in words is "five trillion, thirteen billion, four hundred forty-five million, three hundred one thousand, forty".