1345405433040 has 60 divisors (see below), whose sum is σ = 4518319915044. Its totient is φ = 358774781952.

The previous prime is 1345405433027. The next prime is 1345405433041. The reversal of 1345405433040 is 403345045431.

1345405433040 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 40 + 543 + 30 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 395178191424 + 950227241616 = 628632^2 + 974796^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 1345405432986 and 1345405433004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345405433041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 934308609 + ... + 934310048.

Almost surely, 2^{1345405433040} is an apocalyptic number.

1345405433040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1345405433040 is an abundant number, since it is smaller than the sum of its proper divisors (3172914482004).

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

1345405433040 is a wasteful number, since it uses less digits than its factorization.

1345405433040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868618676 (or 1868618667 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 1345405433040 in words is "one trillion, three hundred forty-five billion, four hundred five million, four hundred thirty-three thousand, forty".