5011304101440 has 448 divisors, whose sum is σ = 19999302672384. Its totient is φ = 1034832863232.

The previous prime is 5011304101439. The next prime is 5011304101481. The reversal of 5011304101440 is 441014031105.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×5011304101440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5011304101440.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3495667 + ... + 4716173.

It is an arithmetic number, because the mean of its divisors is an integer number (44641300608).

Almost surely, 2^{5011304101440} 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 5011304101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9999651336192).

5011304101440 is an abundant number, since it is smaller than the sum of its proper divisors (14987998570944).

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

5011304101440 is a wasteful number, since it uses less digits than its factorization.

5011304101440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220594 (or 1220584 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 5011304101440 its reverse (441014031105), we get a palindrome (5452318132545).

The spelling of 5011304101440 in words is "five trillion, eleven billion, three hundred four million, one hundred one thousand, four hundred forty".