414113312240000 has 160 divisors (see below), whose sum is σ = 1030972469329440. Its totient is φ = 165635160320000.

The previous prime is 414113312239999. The next prime is 414113312240011. The reversal of 414113312240000 is 42213311414.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1378329794 + ... + 1378630206.

It is an arithmetic number, because the mean of its divisors is an integer number (6443577933309).

Almost surely, 2^{414113312240000} is an apocalyptic number.

414113312240000 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 414113312240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515486234664720).

414113312240000 is an abundant number, since it is smaller than the sum of its proper divisors (616859157089440).

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

414113312240000 is an equidigital number, since it uses as much as digits as its factorization.

414113312240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317678 (or 317651 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 414113312240000 its reverse (42213311414), we get a palindrome (414155525551414).

The spelling of 414113312240000 in words is "four hundred fourteen trillion, one hundred thirteen billion, three hundred twelve million, two hundred forty thousand".