414130412323000 has 128 divisors (see below), whose sum is σ = 1011756899312640. Its totient is φ = 158362387920000.

The previous prime is 414130412322959. The next prime is 414130412323007. The reversal of 414130412323000 is 323214031414.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 414130412323000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414130412323007) 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, 36681805 + ... + 46624195.

It is an arithmetic number, because the mean of its divisors is an integer number (7904350775880).

Almost surely, 2^{414130412323000} is an apocalyptic number.

414130412323000 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 414130412323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505878449656320).

414130412323000 is an abundant number, since it is smaller than the sum of its proper divisors (597626486989640).

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

414130412323000 is a wasteful number, since it uses less digits than its factorization.

414130412323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9944246 (or 9944232 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 414130412323000 its reverse (323214031414), we get a palindrome (414453626354414).

The spelling of 414130412323000 in words is "four hundred fourteen trillion, one hundred thirty billion, four hundred twelve million, three hundred twenty-three thousand".