341418401280 has 1440 divisors, whose sum is σ = 1390675366080. Its totient is φ = 77207961600.

The previous prime is 341418401263. The next prime is 341418401377. The reversal of 341418401280 is 82104814143.

It is a happy number.

341418401280 is a `hidden beast` number, since 34 + 141 + 8 + 401 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×341418401280² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3314741709 + ... + 3314741811.

It is an arithmetic number, because the mean of its divisors is an integer number (965746782).

Almost surely, 2^341418401280 is an apocalyptic number.

341418401280 is a gapful number since it is divisible by the number (30) 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 341418401280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695337683040).

341418401280 is an abundant number, since it is smaller than the sum of its proper divisors (1049256964800).

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

341418401280 is a wasteful number, since it uses less digits than its factorization.

341418401280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 341418401280 in words is "three hundred forty-one billion, four hundred eighteen million, four hundred one thousand, two hundred eighty".