414213713424 has 240 divisors, whose sum is σ = 1383084548352. Its totient is φ = 113147476992.

The previous prime is 414213713423. The next prime is 414213713429. The reversal of 414213713424 is 424317312414.

414213713424 is a `hidden beast` number, since 4 + 1 + 4 + 213 + 7 + 13 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (414213713423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89325634 + ... + 89330270.

Almost surely, 2^414213713424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414213713424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691542274176).

414213713424 is an abundant number, since it is smaller than the sum of its proper divisors (968870834928).

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

414213713424 is a wasteful number, since it uses less digits than its factorization.

414213713424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8534 (or 8525 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The spelling of 414213713424 in words is "four hundred fourteen billion, two hundred thirteen million, seven hundred thirteen thousand, four hundred twenty-four".