341327212414272 has 448 divisors, whose sum is σ = 1160817626787840. Its totient is φ = 96329354913792.

The previous prime is 341327212414241. The next prime is 341327212414319. The reversal of 341327212414272 is 272414212723143.

341327212414272 is a `hidden beast` number, since 3 + 4 + 1 + 3 + 2 + 7 + 212 + 4 + 1 + 427 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 6030807478 + ... + 6030864074.

It is an arithmetic number, because the mean of its divisors is an integer number (2591110774080).

Almost surely, 2^{341327212414272} is an apocalyptic number.

341327212414272 is a gapful number since it is divisible by the number (32) 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 341327212414272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580408813393920).

341327212414272 is an abundant number, since it is smaller than the sum of its proper divisors (819490414373568).

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

341327212414272 is a wasteful number, since it uses less digits than its factorization.

341327212414272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62715 (or 62699 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The spelling of 341327212414272 in words is "three hundred forty-one trillion, three hundred twenty-seven billion, two hundred twelve million, four hundred fourteen thousand, two hundred seventy-two".