412404220320 has 192 divisors, whose sum is σ = 1400799173760. Its totient is φ = 101645107200.

The previous prime is 412404220297. The next prime is 412404220331. The reversal of 412404220320 is 23022404214.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177541 + ... + 925380.

It is an arithmetic number, because the mean of its divisors is an integer number (7295829030).

Almost surely, 2^412404220320 is an apocalyptic number.

412404220320 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 412404220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700399586880).

412404220320 is an abundant number, since it is smaller than the sum of its proper divisors (988394953440).

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

412404220320 is a wasteful number, since it uses less digits than its factorization.

412404220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102999 (or 1102991 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 412404220320 its reverse (23022404214), we get a palindrome (435426624534).

The spelling of 412404220320 in words is "four hundred twelve billion, four hundred four million, two hundred twenty thousand, three hundred twenty".