341109128606400 has 1008 divisors, whose sum is σ = 1600455976404480. Its totient is φ = 66710414131200.

The previous prime is 341109128606377. The next prime is 341109128606557. The reversal of 341109128606400 is 4606821901143.

341109128606400 is a `hidden beast` number, since 3 + 4 + 1 + 10 + 9 + 1 + 28 + 606 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×341109128606400² (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 143 ways as a sum of consecutive naturals, for example, 9801421 + ... + 27897779.

Almost surely, 2^{341109128606400} is an apocalyptic number.

341109128606400 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 341109128606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800227988202240).

341109128606400 is an abundant number, since it is smaller than the sum of its proper divisors (1259346847798080).

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

341109128606400 is a wasteful number, since it uses less digits than its factorization.

341109128606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18096422 (or 18096404 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 341109128606400 in words is "three hundred forty-one trillion, one hundred nine billion, one hundred twenty-eight million, six hundred six thousand, four hundred".