412412440100 has 288 divisors, whose sum is σ = 1033133875200. Its totient is φ = 141860505600.

The previous prime is 412412440073. The next prime is 412412440127. The reversal of 412412440100 is 1044214214.

It is an interprime number because it is at equal distance from previous prime (412412440073) and next prime (412412440127).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 419544209 + ... + 419545191.

It is an arithmetic number, because the mean of its divisors is an integer number (3587270400).

Almost surely, 2^412412440100 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 412412440100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516566937600).

412412440100 is an abundant number, since it is smaller than the sum of its proper divisors (620721435100).

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

412412440100 is a wasteful number, since it uses less digits than its factorization.

412412440100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 412412440100 its reverse (1044214214), we get a palindrome (413456654314).

The spelling of 412412440100 in words is "four hundred twelve billion, four hundred twelve million, four hundred forty thousand, one hundred".