1345055640 has 256 divisors, whose sum is σ = 4516300800. Its totient is φ = 318726144.

The previous prime is 1345055639. The next prime is 1345055651. The reversal of 1345055640 is 465505431.

1345055640 is nontrivially palindromic in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5114149 + ... + 5114411.

It is an arithmetic number, because the mean of its divisors is an integer number (17641800).

Almost surely, 2^1345055640 is an apocalyptic number.

1345055640 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 1345055640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258150400).

1345055640 is an abundant number, since it is smaller than the sum of its proper divisors (3171245160).

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

1345055640 is a wasteful number, since it uses less digits than its factorization.

1345055640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 1345055640 is about 36675.0002044990. Note that the first 3 decimals coincide. The cubic root of 1345055640 is about 1103.8585265575.

The spelling of 1345055640 in words is "one billion, three hundred forty-five million, fifty-five thousand, six hundred forty".