414142232200000 has 168 divisors, whose sum is σ = 1027253126592000. Its totient is φ = 165648505920000.

The previous prime is 414142232199979. The next prime is 414142232200033. The reversal of 414142232200000 is 2232241414.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5279760781 + ... + 5279839219.

It is an arithmetic number, because the mean of its divisors is an integer number (6114601944000).

Almost surely, 2^{414142232200000} is an apocalyptic number.

414142232200000 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 414142232200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513626563296000).

414142232200000 is an abundant number, since it is smaller than the sum of its proper divisors (613110894392000).

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

414142232200000 is an frugal number, since it uses more digits than its factorization.

414142232200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104875 (or 104845 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 414142232200000 its reverse (2232241414), we get a palindrome (414144464441414).

The spelling of 414142232200000 in words is "four hundred fourteen trillion, one hundred forty-two billion, two hundred thirty-two million, two hundred thousand".