424663113105000 has 2160 divisors, whose sum is σ = 1882518867208980. Its totient is φ = 86087232000000.

The previous prime is 424663113104921. The next prime is 424663113105029. The reversal of 424663113105000 is 501311366424.

424663113105000 is a `hidden beast` number, since 4 + 2 + 4 + 6 + 631 + 1 + 3 + 10 + 5 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 100963067649444 + 323700045455556 = 10048038^2 + 17991666^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 10938985590 + ... + 10939024410.

Almost surely, 2^{424663113105000} is an apocalyptic number.

424663113105000 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 424663113105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941259433604490).

424663113105000 is an abundant number, since it is smaller than the sum of its proper divisors (1457855754103980).

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

424663113105000 is a wasteful number, since it uses less digits than its factorization.

424663113105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38930 (or 38890 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 424663113105000 in words is "four hundred twenty-four trillion, six hundred sixty-three billion, one hundred thirteen million, one hundred five thousand".