344100344414040 has 128 divisors (see below), whose sum is σ = 1151141947416000. Its totient is φ = 91428827894784.

The previous prime is 344100344414039. The next prime is 344100344414107. The reversal of 344100344414040 is 40414443001443.

344100344414040 is a `hidden beast` number, since 3 + 4 + 4 + 100 + 34 + 441 + 40 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 344100344413986 and 344100344414004.

It is a congruent number.

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, 574811725 + ... + 575410044.

Almost surely, 2^{344100344414040} is an apocalyptic number.

344100344414040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344100344414040 is an abundant number, since it is smaller than the sum of its proper divisors (807041603001960).

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

344100344414040 is a wasteful number, since it uses less digits than its factorization.

344100344414040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150222066 (or 1150222056 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 344100344414040 its reverse (40414443001443), we get a palindrome (384514787415483).

The spelling of 344100344414040 in words is "three hundred forty-four trillion, one hundred billion, three hundred forty-four million, four hundred fourteen thousand, forty".