4035345345440 has 24 divisors (see below), whose sum is σ = 9533503378980. Its totient is φ = 1614138138112.

The previous prime is 4035345345403. The next prime is 4035345345457. The reversal of 4035345345440 is 445435435304.

It can be written as a sum of positive squares in 2 ways, for example, as 3922000003216 + 113345342224 = 1980404^2 + 336668^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4035345345391 and 4035345345400.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12610454045 + ... + 12610454364.

Almost surely, 2^{4035345345440} is an apocalyptic number.

4035345345440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4035345345440 is an abundant number, since it is smaller than the sum of its proper divisors (5498158033540).

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

4035345345440 is a wasteful number, since it uses less digits than its factorization.

4035345345440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25220908424 (or 25220908416 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 44.

The spelling of 4035345345440 in words is "four trillion, thirty-five billion, three hundred forty-five million, three hundred forty-five thousand, four hundred forty".