412013313504 has 192 divisors, whose sum is σ = 1306021147200. Its totient is φ = 125609895936.

The previous prime is 412013313443. The next prime is 412013313619. The reversal of 412013313504 is 405313310214.

It is a happy number.

412013313504 is a `hidden beast` number, since 4 + 1 + 20 + 133 + 1 + 3 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1056022 + ... + 1392554.

It is an arithmetic number, because the mean of its divisors is an integer number (6802193475).

Almost surely, 2^412013313504 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 412013313504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653010573600).

412013313504 is an abundant number, since it is smaller than the sum of its proper divisors (894007833696).

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

412013313504 is a wasteful number, since it uses less digits than its factorization.

412013313504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336674 (or 336660 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 412013313504 its reverse (405313310214), we get a palindrome (817326623718).

The spelling of 412013313504 in words is "four hundred twelve billion, thirteen million, three hundred thirteen thousand, five hundred four".