5459103397440 has 1344 divisors, whose sum is σ = 24507153635328. Its totient is φ = 1123625779200.

The previous prime is 5459103397439. The next prime is 5459103397441. The reversal of 5459103397440 is 447933019545.

5459103397440 is a `hidden beast` number, since 5 + 4 + 5 + 9 + 103 + 3 + 97 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (5459103397439) and next prime (5459103397441).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5459103397441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 640660380 + ... + 640668900.

It is an arithmetic number, because the mean of its divisors is an integer number (18234489312).

Almost surely, 2^{5459103397440} 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 5459103397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12253576817664).

5459103397440 is an abundant number, since it is smaller than the sum of its proper divisors (19048050237888).

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

5459103397440 is a wasteful number, since it uses less digits than its factorization.

5459103397440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8678 (or 8656 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 5459103397440 in words is "five trillion, four hundred fifty-nine billion, one hundred three million, three hundred ninety-seven thousand, four hundred forty".