414030130400 has 36 divisors (see below), whose sum is σ = 1010751057792. Its totient is φ = 165612051840.

The previous prime is 414030130357. The next prime is 414030130403. The reversal of 414030130400 is 4031030414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414030130403) 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 5 ways as a sum of consecutive naturals, for example, 258768032 + ... + 258769631.

It is an arithmetic number, because the mean of its divisors is an integer number (28076418272).

Almost surely, 2^414030130400 is an apocalyptic number.

414030130400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414030130400 is an abundant number, since it is smaller than the sum of its proper divisors (596720927392).

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

414030130400 is a wasteful number, since it uses less digits than its factorization.

414030130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517537683 (or 517537670 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 414030130400 its reverse (4031030414), we get a palindrome (418061160814).

The spelling of 414030130400 in words is "four hundred fourteen billion, thirty million, one hundred thirty thousand, four hundred".