10434233760 has 48 divisors (see below), whose sum is σ = 32867837856. Its totient is φ = 2782462208.

The previous prime is 10434233749. The next prime is 10434233773. The reversal of 10434233760 is 6733243401.

It is a tau number, because it is divible by the number of its divisors (48).

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, 10868514 + ... + 10869473.

It is an arithmetic number, because the mean of its divisors is an integer number (684746622).

Almost surely, 2^10434233760 is an apocalyptic number.

10434233760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10434233760 is an abundant number, since it is smaller than the sum of its proper divisors (22433604096).

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

10434233760 is a wasteful number, since it uses less digits than its factorization.

10434233760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21738005 (or 21737997 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

The spelling of 10434233760 in words is "ten billion, four hundred thirty-four million, two hundred thirty-three thousand, seven hundred sixty".