414330412400 has 120 divisors (see below), whose sum is σ = 1090328227920. Its totient is φ = 150604410880.

The previous prime is 414330412393. The next prime is 414330412459. The reversal of 414330412400 is 4214033414.

It is a self number, because there is not a number n which added to its sum of digits gives 414330412400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 853334 + ... + 1247733.

It is an arithmetic number, because the mean of its divisors is an integer number (9086068566).

Almost surely, 2^414330412400 is an apocalyptic number.

414330412400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414330412400 is an abundant number, since it is smaller than the sum of its proper divisors (675997815520).

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

414330412400 is a wasteful number, since it uses less digits than its factorization.

414330412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101131 (or 2101120 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 414330412400 its reverse (4214033414), we get a palindrome (418544445814).

The spelling of 414330412400 in words is "four hundred fourteen billion, three hundred thirty million, four hundred twelve thousand, four hundred".