341820417405600 has 2592 divisors, whose sum is σ = 1514176288515072. Its totient is φ = 70991216640000.

The previous prime is 341820417405553. The next prime is 341820417405619. The reversal of 341820417405600 is 6504714028143.

341820417405600 is a `hidden beast` number, since 3 + 4 + 1 + 8 + 2 + 0 + 41 + 7 + 40 + 560 + 0 = 666.

It is a super-2 number, since 2×341820417405600² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 289433037010 + ... + 289433038190.

It is an arithmetic number, because the mean of its divisors is an integer number (584172950816).

Almost surely, 2^{341820417405600} is an apocalyptic number.

341820417405600 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 341820417405600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757088144257536).

341820417405600 is an abundant number, since it is smaller than the sum of its proper divisors (1172355871109472).

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

341820417405600 is a wasteful number, since it uses less digits than its factorization.

341820417405600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 341820417405600 in words is "three hundred forty-one trillion, eight hundred twenty billion, four hundred seventeen million, four hundred five thousand, six hundred".