414131410320 has 80 divisors (see below), whose sum is σ = 1283976695232. Its totient is φ = 110420477440.

The previous prime is 414131410309. The next prime is 414131410327. The reversal of 414131410320 is 23014131414.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (414131410327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1774855 + ... + 1994585.

Almost surely, 2^414131410320 is an apocalyptic number.

414131410320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414131410320 is an abundant number, since it is smaller than the sum of its proper divisors (869845284912).

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

414131410320 is a wasteful number, since it uses less digits than its factorization.

414131410320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227600 (or 227594 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 414131410320 its reverse (23014131414), we get a palindrome (437145541734).

The spelling of 414131410320 in words is "four hundred fourteen billion, one hundred thirty-one million, four hundred ten thousand, three hundred twenty".