344343103111040 has 128 divisors (see below), whose sum is σ = 926999908669440. Its totient is φ = 121176458496000.

The previous prime is 344343103111019. The next prime is 344343103111043. The reversal of 344343103111040 is 40111301343443.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 344343103110988 and 344343103111006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344343103111043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 788690996 + ... + 789127475.

It is an arithmetic number, because the mean of its divisors is an integer number (7242186786480).

Almost surely, 2^{344343103111040} is an apocalyptic number.

It is an amenable number.

344343103111040 is an abundant number, since it is smaller than the sum of its proper divisors (582656805558400).

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

344343103111040 is a wasteful number, since it uses less digits than its factorization.

344343103111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577818532 (or 1577818520 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 344343103111040 its reverse (40111301343443), we get a palindrome (384454404454483).

The spelling of 344343103111040 in words is "three hundred forty-four trillion, three hundred forty-three billion, one hundred three million, one hundred eleven thousand, forty".