412905480000 has 560 divisors, whose sum is σ = 1521036612480. Its totient is φ = 98122752000.

The previous prime is 412905479983. The next prime is 412905480007. The reversal of 412905480000 is 84509214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412905480007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45235437 + ... + 45244563.

It is an arithmetic number, because the mean of its divisors is an integer number (2716136808).

Almost surely, 2^412905480000 is an apocalyptic number.

412905480000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412905480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760518306240).

412905480000 is an abundant number, since it is smaller than the sum of its proper divisors (1108131132480).

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

412905480000 is a wasteful number, since it uses less digits than its factorization.

412905480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9204 (or 9179 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

Adding to 412905480000 its reverse (84509214), we get a palindrome (412989989214).

The spelling of 412905480000 in words is "four hundred twelve billion, nine hundred five million, four hundred eighty thousand".