1345121204640 has 192 divisors, whose sum is σ = 4342947840000. Its totient is φ = 349769032704.

The previous prime is 1345121204633. The next prime is 1345121204659. The reversal of 1345121204640 is 464021215431.

It is a happy 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, 12308961 + ... + 12417759.

It is an arithmetic number, because the mean of its divisors is an integer number (22619520000).

Almost surely, 2^{1345121204640} is an apocalyptic number.

1345121204640 is a gapful number since it is divisible by the number (10) 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 1345121204640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2171473920000).

1345121204640 is an abundant number, since it is smaller than the sum of its proper divisors (2997826635360).

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

1345121204640 is a wasteful number, since it uses less digits than its factorization.

1345121204640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109459 (or 109451 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 1345121204640 in words is "one trillion, three hundred forty-five billion, one hundred twenty-one million, two hundred four thousand, six hundred forty".