412481280000 has 480 divisors, whose sum is σ = 1384690507200. Its totient is φ = 109154304000.

The previous prime is 412481279999. The next prime is 412481280023. The reversal of 412481280000 is 82184214.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 412481280000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 625919671 + ... + 625920329.

It is an arithmetic number, because the mean of its divisors is an integer number (2884771890).

Almost surely, 2^412481280000 is an apocalyptic number.

412481280000 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 412481280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692345253600).

412481280000 is an abundant number, since it is smaller than the sum of its proper divisors (972209227200).

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

412481280000 is an equidigital number, since it uses as much as digits as its factorization.

412481280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The spelling of 412481280000 in words is "four hundred twelve billion, four hundred eighty-one million, two hundred eighty thousand".