5414360776440 has 2048 divisors, whose sum is σ = 22524670771200. Its totient is φ = 1008184320000.

The previous prime is 5414360776439. The next prime is 5414360776457. The reversal of 5414360776440 is 446770634145.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 52566609429 + ... + 52566609531.

It is an arithmetic number, because the mean of its divisors is an integer number (10998374400).

Almost surely, 2^{5414360776440} 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 5414360776440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11262335385600).

5414360776440 is an abundant number, since it is smaller than the sum of its proper divisors (17110309994760).

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

5414360776440 is a wasteful number, since it uses less digits than its factorization.

5414360776440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 51.

The spelling of 5414360776440 in words is "five trillion, four hundred fourteen billion, three hundred sixty million, seven hundred seventy-six thousand, four hundred forty".