412333213440 has 72 divisors (see below), whose sum is σ = 1316889212688. Its totient is φ = 109955522560.

The previous prime is 412333213423. The next prime is 412333213441. The reversal of 412333213440 is 44312333214.

It is a happy number.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 412333213398 and 412333213407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412333213441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53685381 + ... + 53693060.

It is an arithmetic number, because the mean of its divisors is an integer number (18290127954).

Almost surely, 2^412333213440 is an apocalyptic number.

412333213440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412333213440 is an abundant number, since it is smaller than the sum of its proper divisors (904555999248).

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

412333213440 is a wasteful number, since it uses less digits than its factorization.

412333213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107378465 (or 107378451 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 412333213440 its reverse (44312333214), we get a palindrome (456645546654).

The spelling of 412333213440 in words is "four hundred twelve billion, three hundred thirty-three million, two hundred thirteen thousand, four hundred forty".