341542435153920 has 3072 divisors, whose sum is σ = 1563122611814400. Its totient is φ = 61306259374080.

The previous prime is 341542435153879. The next prime is 341542435153937. The reversal of 341542435153920 is 29351534245143.

It is a tau number, because it is divible by the number of its divisors (3072).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 48493881919 + ... + 48493888961.

It is an arithmetic number, because the mean of its divisors is an integer number (508828975200).

Almost surely, 2^{341542435153920} is an apocalyptic number.

341542435153920 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 341542435153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781561305907200).

341542435153920 is an abundant number, since it is smaller than the sum of its proper divisors (1221580176660480).

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

341542435153920 is a wasteful number, since it uses less digits than its factorization.

341542435153920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7206 (or 7186 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 51.

The spelling of 341542435153920 in words is "three hundred forty-one trillion, five hundred forty-two billion, four hundred thirty-five million, one hundred fifty-three thousand, nine hundred twenty".