344131121420100 has 432 divisors, whose sum is σ = 1250452294430976. Its totient is φ = 77529868416000.

The previous prime is 344131121420033. The next prime is 344131121420129. The reversal of 344131121420100 is 1024121131443.

It is a happy number.

344131121420100 is a `hidden beast` number, since 3 + 4 + 4 + 13 + 1 + 121 + 420 + 100 = 666.

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, 1698296790 + ... + 1698499410.

It is an arithmetic number, because the mean of its divisors is an integer number (2894565496368).

Almost surely, 2^{344131121420100} is an apocalyptic number.

344131121420100 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 344131121420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625226147215488).

344131121420100 is an abundant number, since it is smaller than the sum of its proper divisors (906321173010876).

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

344131121420100 is a wasteful number, since it uses less digits than its factorization.

344131121420100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206516 (or 206506 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 344131121420100 its reverse (1024121131443), we get a palindrome (345155242551543).

The spelling of 344131121420100 in words is "three hundred forty-four trillion, one hundred thirty-one billion, one hundred twenty-one million, four hundred twenty thousand, one hundred".