5141122401440 has 192 divisors, whose sum is σ = 12492026426880. Its totient is φ = 1998364139520.

The previous prime is 5141122401383. The next prime is 5141122401473. The reversal of 5141122401440 is 441042211415.

It is a super-2 number, since 2×5141122401440² (a number of 26 digits) contains 22 as substring.

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, 1153491692 + ... + 1153496148.

It is an arithmetic number, because the mean of its divisors is an integer number (65062637640).

Almost surely, 2^{5141122401440} 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 5141122401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6246013213440).

5141122401440 is an abundant number, since it is smaller than the sum of its proper divisors (7350904025440).

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

5141122401440 is a wasteful number, since it uses less digits than its factorization.

5141122401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5335 (or 5327 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

Adding to 5141122401440 its reverse (441042211415), we get a palindrome (5582164612855).

The spelling of 5141122401440 in words is "five trillion, one hundred forty-one billion, one hundred twenty-two million, four hundred one thousand, four hundred forty".