341224773120 has 2400 divisors, whose sum is σ = 1609361208576. Its totient is φ = 68279500800.

The previous prime is 341224773119. The next prime is 341224773161. The reversal of 341224773120 is 21377422143.

341224773120 is a `hidden beast` number, since 3 + 41 + 22 + 477 + 3 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 4805982685 + ... + 4805982755.

Almost surely, 2^341224773120 is an apocalyptic number.

341224773120 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 341224773120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804680604288).

341224773120 is an abundant number, since it is smaller than the sum of its proper divisors (1268136435456).

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

341224773120 is a wasteful number, since it uses less digits than its factorization.

341224773120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 341224773120 in words is "three hundred forty-one billion, two hundred twenty-four million, seven hundred seventy-three thousand, one hundred twenty".