412133330640 has 160 divisors (see below), whose sum is σ = 1322138949120. Its totient is φ = 106074759168.

The previous prime is 412133330633. The next prime is 412133330657. The reversal of 412133330640 is 46033331214.

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

It is a junction number, because it is equal to n+sod(n) for n = 412133330598 and 412133330607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23258424 + ... + 23276136.

It is an arithmetic number, because the mean of its divisors is an integer number (8263368432).

Almost surely, 2^412133330640 is an apocalyptic number.

412133330640 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 412133330640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661069474560).

412133330640 is an abundant number, since it is smaller than the sum of its proper divisors (910005618480).

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

412133330640 is a wasteful number, since it uses less digits than its factorization.

412133330640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21101 (or 21095 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 412133330640 its reverse (46033331214), we get a palindrome (458166661854).

The spelling of 412133330640 in words is "four hundred twelve billion, one hundred thirty-three million, three hundred thirty thousand, six hundred forty".