424200631934016 has 336 divisors, whose sum is σ = 1390502926245888. Its totient is φ = 121120914816000.

The previous prime is 424200631933963. The next prime is 424200631934047. The reversal of 424200631934016 is 610439136002424.

424200631934016 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 0 + 0 + 631 + 9 + 3 + 4 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×424200631934016² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64753565941 + ... + 64753572491.

It is an arithmetic number, because the mean of its divisors is an integer number (4138401566208).

Almost surely, 2^{424200631934016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424200631934016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695251463122944).

424200631934016 is an abundant number, since it is smaller than the sum of its proper divisors (966302294311872).

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

424200631934016 is a wasteful number, since it uses less digits than its factorization.

424200631934016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14630 (or 14617 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 424200631934016 in words is "four hundred twenty-four trillion, two hundred billion, six hundred thirty-one million, nine hundred thirty-four thousand, sixteen".