414341120000 has 300 divisors, whose sum is σ = 1060696887096. Its totient is φ = 161710080000.

The previous prime is 414341119981. The next prime is 414341120069. The reversal of 414341120000 is 21143414.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 440319530 + ... + 440320470.

Almost surely, 2^414341120000 is an apocalyptic number.

414341120000 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 414341120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530348443548).

414341120000 is an abundant number, since it is smaller than the sum of its proper divisors (646355767096).

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

414341120000 is an frugal number, since it uses more digits than its factorization.

414341120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 414341120000 its reverse (21143414), we get a palindrome (414362263414).

The spelling of 414341120000 in words is "four hundred fourteen billion, three hundred forty-one million, one hundred twenty thousand".