5461322746440 has 256 divisors, whose sum is σ = 18082358611200. Its totient is φ = 1308526592000.

The previous prime is 5461322746421. The next prime is 5461322746463. The reversal of 5461322746440 is 446472231645.

It is a super-2 number, since 2×5461322746440² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5461322746440.

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, 75823084 + ... + 75895076.

It is an arithmetic number, because the mean of its divisors is an integer number (70634213325).

Almost surely, 2^{5461322746440} 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 5461322746440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9041179305600).

5461322746440 is an abundant number, since it is smaller than the sum of its proper divisors (12621035864760).

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

5461322746440 is a wasteful number, since it uses less digits than its factorization.

5461322746440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72688 (or 72684 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 48.

The spelling of 5461322746440 in words is "five trillion, four hundred sixty-one billion, three hundred twenty-two million, seven hundred forty-six thousand, four hundred forty".