412084237824 has 720 divisors, whose sum is σ = 1469649722112. Its totient is φ = 108815228928.

The previous prime is 412084237771. The next prime is 412084237837. The reversal of 412084237824 is 428732480214.

It is a self number, because there is not a number n which added to its sum of digits gives 412084237824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 500709477 + ... + 500710299.

Almost surely, 2^412084237824 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 412084237824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734824861056).

412084237824 is an abundant number, since it is smaller than the sum of its proper divisors (1057565484288).

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

412084237824 is a wasteful number, since it uses less digits than its factorization.

412084237824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 412084237824 in words is "four hundred twelve billion, eighty-four million, two hundred thirty-seven thousand, eight hundred twenty-four".