341120981138400 has 432 divisors, whose sum is σ = 1209433325563008. Its totient is φ = 90470459520000.

The previous prime is 341120981138393. The next prime is 341120981138453. The reversal of 341120981138400 is 4831189021143.

341120981138400 is a `hidden beast` number, since 3 + 4 + 1 + 1 + 20 + 98 + 1 + 138 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2167819725 + ... + 2167977075.

It is an arithmetic number, because the mean of its divisors is an integer number (2799614179544).

Almost surely, 2^{341120981138400} is an apocalyptic number.

341120981138400 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 341120981138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604716662781504).

341120981138400 is an abundant number, since it is smaller than the sum of its proper divisors (868312344424608).

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

341120981138400 is a wasteful number, since it uses less digits than its factorization.

341120981138400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159015 (or 158999 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 341120981138400 in words is "three hundred forty-one trillion, one hundred twenty billion, nine hundred eighty-one million, one hundred thirty-eight thousand, four hundred".