345114031451440 has 40 divisors (see below), whose sum is σ = 809889096258000. Its totient is φ = 136755466665216.

The previous prime is 345114031451383. The next prime is 345114031451443. The reversal of 345114031451440 is 44154130411543.

It is a tau number, because it is divible by the number of its divisors (40).

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 = 345114031451393 and 345114031451402.

It is not an unprimeable number, because it can be changed into a prime (345114031451443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20158521315 + ... + 20158538434.

It is an arithmetic number, because the mean of its divisors is an integer number (20247227406450).

Almost surely, 2^{345114031451440} is an apocalyptic number.

It is an amenable number.

345114031451440 is an abundant number, since it is smaller than the sum of its proper divisors (464775064806560).

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

345114031451440 is a wasteful number, since it uses less digits than its factorization.

345114031451440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40317059869 (or 40317059863 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

Adding to 345114031451440 its reverse (44154130411543), we get a palindrome (389268161862983).

The spelling of 345114031451440 in words is "three hundred forty-five trillion, one hundred fourteen billion, thirty-one million, four hundred fifty-one thousand, four hundred forty".