414401152312 has 32 divisors (see below), whose sum is σ = 889287649920. Its totient is φ = 177343457760.

The previous prime is 414401152301. The next prime is 414401152327. The reversal of 414401152312 is 213251104414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5315878 + ... + 5393269.

It is an arithmetic number, because the mean of its divisors is an integer number (27790239060).

Almost surely, 2^414401152312 is an apocalyptic number.

It is an amenable number.

414401152312 is an abundant number, since it is smaller than the sum of its proper divisors (474886497608).

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

414401152312 is a wasteful number, since it uses less digits than its factorization.

414401152312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10709851 (or 10709847 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 414401152312 its reverse (213251104414), we get a palindrome (627652256726).

The spelling of 414401152312 in words is "four hundred fourteen billion, four hundred one million, one hundred fifty-two thousand, three hundred twelve".