414412000000 has 252 divisors, whose sum is σ = 1040430588568. Its totient is φ = 164736000000.

The previous prime is 414411999997. The next prime is 414412000027. The reversal of 414412000000 is 214414.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1251999835 + ... + 1252000165.

Almost surely, 2^414412000000 is an apocalyptic number.

414412000000 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 414412000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520215294284).

414412000000 is an abundant number, since it is smaller than the sum of its proper divisors (626018588568).

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

414412000000 is an frugal number, since it uses more digits than its factorization.

414412000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 414412000000 its reverse (214414), we get a palindrome (414412214414).

The spelling of 414412000000 in words is "four hundred fourteen billion, four hundred twelve million", and thus it is an aban number.