10345435440 has 80 divisors (see below), whose sum is σ = 32084875008. Its totient is φ = 2757576448.

The previous prime is 10345435433. The next prime is 10345435519. The reversal of 10345435440 is 4453454301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 631027 + ... + 647213.

Almost surely, 2^10345435440 is an apocalyptic number.

10345435440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10345435440 is an abundant number, since it is smaller than the sum of its proper divisors (21739439568).

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

10345435440 is a wasteful number, since it uses less digits than its factorization.

10345435440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18866 (or 18860 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 10345435440 its reverse (4453454301), we get a palindrome (14798889741).

The spelling of 10345435440 in words is "ten billion, three hundred forty-five million, four hundred thirty-five thousand, four hundred forty".