341432128739520 has 2016 divisors, whose sum is σ = 1508840097343488. Its totient is φ = 71958404284416.

The previous prime is 341432128739509. The next prime is 341432128739563. The reversal of 341432128739520 is 25937821234143.

341432128739520 is a `hidden beast` number, since 3 + 4 + 1 + 4 + 3 + 2 + 1 + 2 + 87 + 39 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 122070834762 + ... + 122070837558.

It is an arithmetic number, because the mean of its divisors is an integer number (748432587968).

Almost surely, 2^{341432128739520} is an apocalyptic number.

341432128739520 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 341432128739520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754420048671744).

341432128739520 is an abundant number, since it is smaller than the sum of its proper divisors (1167407968603968).

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

341432128739520 is a wasteful number, since it uses less digits than its factorization.

341432128739520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4189 (or 4154 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 341432128739520 in words is "three hundred forty-one trillion, four hundred thirty-two billion, one hundred twenty-eight million, seven hundred thirty-nine thousand, five hundred twenty".