1344655400040 has 96 divisors (see below), whose sum is σ = 4402028971080. Its totient is φ = 355957426176.

The previous prime is 1344655400009. The next prime is 1344655400107. The reversal of 1344655400040 is 400045564431.

1344655400040 is a `hidden beast` number, since 1 + 34 + 46 + 5 + 540 + 0 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 973825554276 + 370829845764 = 986826^2 + 608958^2 .

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 = 1344655399968 and 1344655400004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13582629 + ... + 13681268.

Almost surely, 2^{1344655400040} is an apocalyptic number.

1344655400040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1344655400040 is an abundant number, since it is smaller than the sum of its proper divisors (3057373571040).

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

1344655400040 is a wasteful number, since it uses less digits than its factorization.

1344655400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27264051 (or 27264044 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 1344655400040 in words is "one trillion, three hundred forty-four billion, six hundred fifty-five million, four hundred thousand, forty".