412041104100032 has 168 divisors, whose sum is σ = 900271513154160. Its totient is φ = 186971018291200.

The previous prime is 412041104099987. The next prime is 412041104100049. The reversal of 412041104100032 is 230001401140214.

It is a junction number, because it is equal to n+sod(n) for n = 412041104099980 and 412041104100007.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10966979807 + ... + 10967017377.

It is an arithmetic number, because the mean of its divisors is an integer number (5358759006870).

Almost surely, 2^{412041104100032} 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 412041104100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450135756577080).

412041104100032 is an abundant number, since it is smaller than the sum of its proper divisors (488230409054128).

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

412041104100032 is a wasteful number, since it uses less digits than its factorization.

412041104100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39991 (or 39970 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 412041104100032 its reverse (230001401140214), we get a palindrome (642042505240246).

The spelling of 412041104100032 in words is "four hundred twelve trillion, forty-one billion, one hundred four million, one hundred thousand, thirty-two".