4309342248960 has 1568 divisors, whose sum is σ = 18101443014720. Its totient is φ = 963923410944.

The previous prime is 4309342248919. The next prime is 4309342248989. The reversal of 4309342248960 is 698422439034.

4309342248960 is a `hidden beast` number, since 4 + 3 + 0 + 93 + 422 + 48 + 96 + 0 = 666.

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 = 4309342248897 and 4309342248906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 11078000446 + ... + 11078000834.

Almost surely, 2^{4309342248960} is an apocalyptic number.

4309342248960 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 4309342248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9050721507360).

4309342248960 is an abundant number, since it is smaller than the sum of its proper divisors (13792100765760).

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

4309342248960 is an frugal number, since it uses more digits than its factorization.

4309342248960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 4309342248960 in words is "four trillion, three hundred nine billion, three hundred forty-two million, two hundred forty-eight thousand, nine hundred sixty".