10345133422340 has 96 divisors (see below), whose sum is σ = 22209210955008. Its totient is φ = 4046753984000.

The previous prime is 10345133422339. The next prime is 10345133422357. The reversal of 10345133422340 is 4322433154301.

It is a super-2 number, since 2×10345133422340² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10345133422340.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 442901942 + ... + 442925298.

It is an arithmetic number, because the mean of its divisors is an integer number (231345947448).

Almost surely, 2^{10345133422340} is an apocalyptic number.

10345133422340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10345133422340 is an abundant number, since it is smaller than the sum of its proper divisors (11864077532668).

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

10345133422340 is a wasteful number, since it uses less digits than its factorization.

10345133422340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25949 (or 25947 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

Adding to 10345133422340 its reverse (4322433154301), we get a palindrome (14667566576641).

The spelling of 10345133422340 in words is "ten trillion, three hundred forty-five billion, one hundred thirty-three million, four hundred twenty-two thousand, three hundred forty".