10305141434440 has 32 divisors (see below), whose sum is σ = 23934522044160. Its totient is φ = 3989087006400.

The previous prime is 10305141434389. The next prime is 10305141434503. The reversal of 10305141434440 is 4443414150301.

It is a super-2 number, since 2×10305141434440² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10305141434396 and 10305141434405.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4155297726 + ... + 4155300205.

It is an arithmetic number, because the mean of its divisors is an integer number (747953813880).

Almost surely, 2^{10305141434440} is an apocalyptic number.

10305141434440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10305141434440 is an abundant number, since it is smaller than the sum of its proper divisors (13629380609720).

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

10305141434440 is a wasteful number, since it uses less digits than its factorization.

10305141434440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8310597973 (or 8310597969 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 10305141434440 its reverse (4443414150301), we get a palindrome (14748555584741).

The spelling of 10305141434440 in words is "ten trillion, three hundred five billion, one hundred forty-one million, four hundred thirty-four thousand, four hundred forty".