344404100040000 has 2240 divisors, whose sum is σ = 1570198222129152. Its totient is φ = 64273305600000.

The previous prime is 344404100039983. The next prime is 344404100040017. The reversal of 344404100040000 is 40001404443.

It is an interprime number because it is at equal distance from previous prime (344404100039983) and next prime (344404100040017).

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×344404100040000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4444401255 + ... + 4444478745.

Almost surely, 2^{344404100040000} is an apocalyptic number.

344404100040000 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 344404100040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785099111064576).

344404100040000 is an abundant number, since it is smaller than the sum of its proper divisors (1225794122089152).

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

344404100040000 is a wasteful number, since it uses less digits than its factorization.

344404100040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77594 (or 77569 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 344404100040000 its reverse (40001404443), we get a palindrome (344444101444443).

The spelling of 344404100040000 in words is "three hundred forty-four trillion, four hundred four billion, one hundred million, forty thousand".