414242134324000 has 384 divisors, whose sum is σ = 1141608129742080. Its totient is φ = 146800982016000.

The previous prime is 414242134323967. The next prime is 414242134324027. The reversal of 414242134324000 is 423431242414.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201822915 + ... + 203865085.

It is an arithmetic number, because the mean of its divisors is an integer number (2972937837870).

Almost surely, 2^{414242134324000} is an apocalyptic number.

414242134324000 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 414242134324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570804064871040).

414242134324000 is an abundant number, since it is smaller than the sum of its proper divisors (727365995418080).

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

414242134324000 is a wasteful number, since it uses less digits than its factorization.

414242134324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042389 (or 2042371 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 414242134324000 its reverse (423431242414), we get a palindrome (414665565566414).

The spelling of 414242134324000 in words is "four hundred fourteen trillion, two hundred forty-two billion, one hundred thirty-four million, three hundred twenty-four thousand".