412242023440 has 80 divisors (see below), whose sum is σ = 1037893789296. Its totient is φ = 151371417600.

The previous prime is 412242023429. The next prime is 412242023449. The reversal of 412242023440 is 44320242214.

It can be written as a sum of positive squares in 8 ways, for example, as 184415278096 + 227826745344 = 429436^2 + 477312^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 412242023399 and 412242023408.

It is not an unprimeable number, because it can be changed into a prime (412242023449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 906751 + ... + 1283230.

Almost surely, 2^412242023440 is an apocalyptic number.

412242023440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412242023440 is an abundant number, since it is smaller than the sum of its proper divisors (625651765856).

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

412242023440 is a wasteful number, since it uses less digits than its factorization.

412242023440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190188 (or 2190182 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 412242023440 its reverse (44320242214), we get a palindrome (456562265654).

The spelling of 412242023440 in words is "four hundred twelve billion, two hundred forty-two million, twenty-three thousand, four hundred forty".