412334240013100 has 144 divisors (see below), whose sum is σ = 905390577266560. Its totient is φ = 162983722060800.

The previous prime is 412334240013097. The next prime is 412334240013121. The reversal of 412334240013100 is 1310042433214.

It is a happy number.

It is a super-2 number, since 2×412334240013100² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7294437037 + ... + 7294493563.

Almost surely, 2^{412334240013100} 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 412334240013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452695288633280).

412334240013100 is an abundant number, since it is smaller than the sum of its proper divisors (493056337253460).

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

412334240013100 is a wasteful number, since it uses less digits than its factorization.

412334240013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58428 (or 58421 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 412334240013100 its reverse (1310042433214), we get a palindrome (413644282446314).

The spelling of 412334240013100 in words is "four hundred twelve trillion, three hundred thirty-four billion, two hundred forty million, thirteen thousand, one hundred".