341559728640 has 640 divisors, whose sum is σ = 1321565414400. Its totient is φ = 83112099840.

The previous prime is 341559728621. The next prime is 341559728641. The reversal of 341559728640 is 46827955143.

It is a happy number.

341559728640 is a `hidden beast` number, since 3 + 4 + 1 + 5 + 597 + 2 + 8 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (341559728641) 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 63 ways as a sum of consecutive naturals, for example, 79969705 + ... + 79973975.

It is an arithmetic number, because the mean of its divisors is an integer number (2064945960).

It is a 2-persistent number, because it is pandigital, and so is 2⋅341559728640 = 683119457280, but 3⋅341559728640 = 1024679185920 is not.

Almost surely, 2^341559728640 is an apocalyptic number.

341559728640 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 341559728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660782707200).

341559728640 is an abundant number, since it is smaller than the sum of its proper divisors (980005685760).

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

341559728640 is a wasteful number, since it uses less digits than its factorization.

341559728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4405 (or 4383 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 341559728640 in words is "three hundred forty-one billion, five hundred fifty-nine million, seven hundred twenty-eight thousand, six hundred forty".