1345438440 has 144 divisors (see below), whose sum is σ = 4519440900. Its totient is φ = 347120640.

The previous prime is 1345438421. The next prime is 1345438447. The reversal of 1345438440 is 448345431.

1345438440 is a `hidden beast` number, since 1 + 34 + 543 + 84 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1342636164 + 2802276 = 36642^2 + 1674^2 .

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 = 1345438395 and 1345438404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345438447) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 344016 + ... + 347904.

Almost surely, 2^1345438440 is an apocalyptic number.

1345438440 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 1345438440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259720450).

1345438440 is an abundant number, since it is smaller than the sum of its proper divisors (3174002460).

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

1345438440 is a wasteful number, since it uses less digits than its factorization.

1345438440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3968 (or 3930 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 1345438440 is about 36680.2186471128. The cubic root of 1345438440 is about 1103.9632352281.

The spelling of 1345438440 in words is "one billion, three hundred forty-five million, four hundred thirty-eight thousand, four hundred forty".