412345006080 has 192 divisors, whose sum is σ = 1507637214720. Its totient is φ = 94250237952.

The previous prime is 412345006033. The next prime is 412345006093. The reversal of 412345006080 is 80600543214.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 743724 + ... + 1173803.

It is an arithmetic number, because the mean of its divisors is an integer number (7852277160).

Almost surely, 2^412345006080 is an apocalyptic number.

412345006080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412345006080 is an abundant number, since it is smaller than the sum of its proper divisors (1095292208640).

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

412345006080 is a wasteful number, since it uses less digits than its factorization.

412345006080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917564 (or 1917544 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 412345006080 its reverse (80600543214), we get a palindrome (492945549294).

The spelling of 412345006080 in words is "four hundred twelve billion, three hundred forty-five million, six thousand, eighty".