414323103120 has 160 divisors (see below), whose sum is σ = 1315286387712. Its totient is φ = 107850602496.

The previous prime is 414323103107. The next prime is 414323103127. The reversal of 414323103120 is 21301323414.

It is a happy number.

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 (414323103127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2423169 + ... + 2588511.

Almost surely, 2^414323103120 is an apocalyptic number.

414323103120 is a gapful number since it is divisible by the number (40) 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 414323103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657643193856).

414323103120 is an abundant number, since it is smaller than the sum of its proper divisors (900963284592).

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

414323103120 is a wasteful number, since it uses less digits than its factorization.

414323103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165609 (or 165603 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 414323103120 its reverse (21301323414), we get a palindrome (435624426534).

The spelling of 414323103120 in words is "four hundred fourteen billion, three hundred twenty-three million, one hundred three thousand, one hundred twenty".