4953403445760 has 4320 divisors, whose sum is σ = 24390306420480. Its totient is φ = 956470394880.

The previous prime is 4953403445741. The next prime is 4953403445789. The reversal of 4953403445760 is 675443043594.

4953403445760 is a `hidden beast` number, since 4 + 9 + 5 + 34 + 0 + 34 + 4 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is a junction number, because it is equal to n+sod(n) for n = 4953403445697 and 4953403445706.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 62701309401 + ... + 62701309479.

It is an arithmetic number, because the mean of its divisors is an integer number (5645904264).

Almost surely, 2^{4953403445760} is an apocalyptic number.

4953403445760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4953403445760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12195153210240).

4953403445760 is an abundant number, since it is smaller than the sum of its proper divisors (19436902974720).

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

4953403445760 is a wasteful number, since it uses less digits than its factorization.

4953403445760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 4953403445760 in words is "four trillion, nine hundred fifty-three billion, four hundred three million, four hundred forty-five thousand, seven hundred sixty".