344434423401400 has 192 divisors, whose sum is σ = 832940316220320. Its totient is φ = 132351993446400.

The previous prime is 344434423401353. The next prime is 344434423401473. The reversal of 344434423401400 is 4104324434443.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8117114584 + ... + 8117157016.

Almost surely, 2^{344434423401400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344434423401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416470158110160).

344434423401400 is an abundant number, since it is smaller than the sum of its proper divisors (488505892818920).

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

344434423401400 is a wasteful number, since it uses less digits than its factorization.

344434423401400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58026 (or 58017 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 40.

Adding to 344434423401400 its reverse (4104324434443), we get a palindrome (348538747835843).

The spelling of 344434423401400 in words is "three hundred forty-four trillion, four hundred thirty-four billion, four hundred twenty-three million, four hundred one thousand, four hundred".