424787427468000 has 960 divisors, whose sum is σ = 1573561150761600. Its totient is φ = 112230696960000.

The previous prime is 424787427467971. The next prime is 424787427468043. The reversal of 424787427468000 is 864724787424.

It is a happy number.

424787427468000 is a `hidden beast` number, since 4 + 2 + 478 + 7 + 42 + 7 + 46 + 80 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 19358665029 + ... + 19358686971.

It is an arithmetic number, because the mean of its divisors is an integer number (1639126198710).

Almost surely, 2^{424787427468000} is an apocalyptic number.

424787427468000 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 424787427468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786780575380800).

424787427468000 is an abundant number, since it is smaller than the sum of its proper divisors (1148773723293600).

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

424787427468000 is a wasteful number, since it uses less digits than its factorization.

424787427468000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22530 (or 22503 counting only the distinct ones).

The product of its (nonzero) digits is 134873088, while the sum is 63.

The spelling of 424787427468000 in words is "four hundred twenty-four trillion, seven hundred eighty-seven billion, four hundred twenty-seven million, four hundred sixty-eight thousand".