414454134424 has 64 divisors (see below), whose sum is σ = 895587897600. Its totient is φ = 177828566400.

The previous prime is 414454134389. The next prime is 414454134427. The reversal of 414454134424 is 424431454414.

It is a super-2 number, since 2×414454134424² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414454134427) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15709 + ... + 910579.

It is an arithmetic number, because the mean of its divisors is an integer number (13993560900).

Almost surely, 2^414454134424 is an apocalyptic number.

414454134424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414454134424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447793948800).

414454134424 is an abundant number, since it is smaller than the sum of its proper divisors (481133763176).

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

414454134424 is a wasteful number, since it uses less digits than its factorization.

414454134424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895184 (or 895180 counting only the distinct ones).

The product of its digits is 491520, while the sum is 40.

Adding to 414454134424 its reverse (424431454414), we get a palindrome (838885588838).

The spelling of 414454134424 in words is "four hundred fourteen billion, four hundred fifty-four million, one hundred thirty-four thousand, four hundred twenty-four".