414400433412 has 48 divisors (see below), whose sum is σ = 1105446021120. Its totient is φ = 118359602592.

The previous prime is 414400433399. The next prime is 414400433443. The reversal of 414400433412 is 214334004414.

It is a self number, because there is not a number n which added to its sum of digits gives 414400433412.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 596862 + ... + 1088597.

It is an arithmetic number, because the mean of its divisors is an integer number (23030125440).

Almost surely, 2^414400433412 is an apocalyptic number.

414400433412 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

414400433412 is an abundant number, since it is smaller than the sum of its proper divisors (691045587708).

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

414400433412 is a wasteful number, since it uses less digits than its factorization.

414400433412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688400 (or 1688398 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 414400433412 its reverse (214334004414), we get a palindrome (628734437826).

The spelling of 414400433412 in words is "four hundred fourteen billion, four hundred million, four hundred thirty-three thousand, four hundred twelve".