341431255572480 has 1344 divisors, whose sum is σ = 1269768230535168. Its totient is φ = 87917879623680.

The previous prime is 341431255572413. The next prime is 341431255572523. The reversal of 341431255572480 is 84275552134143.

341431255572480 is a `hidden beast` number, since 3 + 4 + 1 + 4 + 3 + 1 + 2 + 5 + 557 + 2 + 4 + 80 = 666.

It is a super-3 number, since 3×341431255572480³ (a number of 45 digits) contains 333 as substring.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 187290868849 + ... + 187290870671.

It is an arithmetic number, because the mean of its divisors is an integer number (944768028672).

Almost surely, 2^{341431255572480} is an apocalyptic number.

341431255572480 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 341431255572480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634884115267584).

341431255572480 is an abundant number, since it is smaller than the sum of its proper divisors (928336974962688).

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

341431255572480 is an equidigital number, since it uses as much as digits as its factorization.

341431255572480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 341431255572480 in words is "three hundred forty-one trillion, four hundred thirty-one billion, two hundred fifty-five million, five hundred seventy-two thousand, four hundred eighty".