424342895760000 has 960 divisors, whose sum is σ = 1819677718235520. Its totient is φ = 92775564288000.

The previous prime is 424342895759957. The next prime is 424342895760103. The reversal of 424342895760000 is 67598243424.

It is a happy number.

424342895760000 is a `hidden beast` number, since 4 + 2 + 4 + 3 + 4 + 28 + 9 + 5 + 7 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 114089674 + ... + 117750326.

It is an arithmetic number, because the mean of its divisors is an integer number (1895497623162).

Almost surely, 2^{424342895760000} is an apocalyptic number.

424342895760000 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 424342895760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909838859117760).

424342895760000 is an abundant number, since it is smaller than the sum of its proper divisors (1395334822475520).

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

424342895760000 is a wasteful number, since it uses less digits than its factorization.

424342895760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3660723 (or 3660693 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 424342895760000 in words is "four hundred twenty-four trillion, three hundred forty-two billion, eight hundred ninety-five million, seven hundred sixty thousand".