1346294311040 has 128 divisors (see below), whose sum is σ = 3805105593600. Its totient is φ = 445669797888.

The previous prime is 1346294310749. The next prime is 1346294311331. The reversal of 1346294311040 is 401134926431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1346294310749) and next prime (1346294311331).

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

It is a lonely number, since its distance to closest prime (1346294311331) sets a new record.

It is a junction number, because it is equal to n+sod(n) for n = 1346294310985 and 1346294311003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5051324 + ... + 5311163.

It is an arithmetic number, because the mean of its divisors is an integer number (29727387450).

Almost surely, 2^{1346294311040} is an apocalyptic number.

1346294311040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1346294311040 is an abundant number, since it is smaller than the sum of its proper divisors (2458811282560).

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

1346294311040 is a wasteful number, since it uses less digits than its factorization.

1346294311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10362542 (or 10362530 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 1346294311040 in words is "one trillion, three hundred forty-six billion, two hundred ninety-four million, three hundred eleven thousand, forty".