412420004658504 has 320 divisors, whose sum is σ = 1188276118444800. Its totient is φ = 133544044348416.

The previous prime is 412420004658437. The next prime is 412420004658517. The reversal of 412420004658504 is 405856400024214.

412420004658504 is a `hidden beast` number, since 4 + 1 + 2 + 4 + 20 + 0 + 0 + 46 + 585 + 0 + 4 = 666.

It is a super-2 number, since 2×412420004658504² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 412420004658504.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57129793407 + ... + 57129800625.

It is an arithmetic number, because the mean of its divisors is an integer number (3713362870140).

Almost surely, 2^{412420004658504} 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 412420004658504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594138059222400).

412420004658504 is an abundant number, since it is smaller than the sum of its proper divisors (775856113786296).

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

412420004658504 is a wasteful number, since it uses less digits than its factorization.

412420004658504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10754 (or 10741 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 412420004658504 in words is "four hundred twelve trillion, four hundred twenty billion, four million, six hundred fifty-eight thousand, five hundred four".