344041402240400 has 120 divisors (see below), whose sum is σ = 851458176254400. Its totient is φ = 133514052779520.

The previous prime is 344041402240369. The next prime is 344041402240411. The reversal of 344041402240400 is 4042204140443.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64559372 + ... + 69684971.

It is an arithmetic number, because the mean of its divisors is an integer number (7095484802120).

Almost surely, 2^{344041402240400} is an apocalyptic number.

It is an amenable number.

344041402240400 is an abundant number, since it is smaller than the sum of its proper divisors (507416774014000).

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

344041402240400 is a wasteful number, since it uses less digits than its factorization.

344041402240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134244553 (or 134244542 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 344041402240400 its reverse (4042204140443), we get a palindrome (348083606380843).

The spelling of 344041402240400 in words is "three hundred forty-four trillion, forty-one billion, four hundred two million, two hundred forty thousand, four hundred".