343545214001440 has 144 divisors (see below), whose sum is σ = 892132987476024. Its totient is φ = 124923344015360.

The previous prime is 343545214001393. The next prime is 343545214001443. The reversal of 343545214001440 is 44100412545343.

It can be written as a sum of positive squares in 4 ways, for example, as 271781205980944 + 71764008020496 = 16485788^2 + 8471364^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 343545214001393 and 343545214001402.

It is not an unprimeable number, because it can be changed into a prime (343545214001443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1458716334 + ... + 1458951826.

Almost surely, 2^{343545214001440} is an apocalyptic number.

It is an amenable number.

343545214001440 is an abundant number, since it is smaller than the sum of its proper divisors (548587773474584).

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

343545214001440 is a wasteful number, since it uses less digits than its factorization.

343545214001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310883 (or 310864 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

Adding to 343545214001440 its reverse (44100412545343), we get a palindrome (387645626546783).

The spelling of 343545214001440 in words is "three hundred forty-three trillion, five hundred forty-five billion, two hundred fourteen million, one thousand, four hundred forty".