414400112420 has 96 divisors (see below), whose sum is σ = 996795700992. Its totient is φ = 141761138688.

The previous prime is 414400112377. The next prime is 414400112449. The reversal of 414400112420 is 24211004414.

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 31 ways as a sum of consecutive naturals, for example, 171451052 + ... + 171453468.

It is an arithmetic number, because the mean of its divisors is an integer number (10383288552).

Almost surely, 2^414400112420 is an apocalyptic number.

It is an amenable number.

414400112420 is an abundant number, since it is smaller than the sum of its proper divisors (582395588572).

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

414400112420 is a wasteful number, since it uses less digits than its factorization.

414400112420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4677 (or 4675 counting only the distinct ones).

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

Adding to 414400112420 its reverse (24211004414), we get a palindrome (438611116834).

The spelling of 414400112420 in words is "four hundred fourteen billion, four hundred million, one hundred twelve thousand, four hundred twenty".