341264049280 has 1024 divisors, whose sum is σ = 1142138880000. Its totient is φ = 94206689280.

The previous prime is 341264049253. The next prime is 341264049281. The reversal of 341264049280 is 82940462143.

It is a super-2 number, since 2×341264049280² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (341264049281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1714894621 + ... + 1714894819.

It is an arithmetic number, because the mean of its divisors is an integer number (1115370000).

Almost surely, 2^341264049280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341264049280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571069440000).

341264049280 is an abundant number, since it is smaller than the sum of its proper divisors (800874830720).

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

341264049280 is a wasteful number, since it uses less digits than its factorization.

341264049280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The spelling of 341264049280 in words is "three hundred forty-one billion, two hundred sixty-four million, forty-nine thousand, two hundred eighty".