344404131400420 has 96 divisors (see below), whose sum is σ = 904744876121856. Its totient is φ = 107211374323200.

The previous prime is 344404131400393. The next prime is 344404131400477. The reversal of 344404131400420 is 24004131404443.

It is a super-2 number, since 2×344404131400420² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1550979466 + ... + 1551201505.

It is an arithmetic number, because the mean of its divisors is an integer number (9424425792936).

Almost surely, 2^{344404131400420} is an apocalyptic number.

It is an amenable number.

344404131400420 is an abundant number, since it is smaller than the sum of its proper divisors (560340744721436).

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

344404131400420 is a wasteful number, since it uses less digits than its factorization.

344404131400420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3102181061 (or 3102181059 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 344404131400420 its reverse (24004131404443), we get a palindrome (368408262804863).

The spelling of 344404131400420 in words is "three hundred forty-four trillion, four hundred four billion, one hundred thirty-one million, four hundred thousand, four hundred twenty".