10438464576 has 112 divisors (see below), whose sum is σ = 29367601920. Its totient is φ = 3260866560.

The previous prime is 10438464563. The next prime is 10438464581. The reversal of 10438464576 is 67546483401.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 773406 + ... + 786786.

Almost surely, 2^10438464576 is an apocalyptic number.

10438464576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10438464576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14683800960).

10438464576 is an abundant number, since it is smaller than the sum of its proper divisors (18929137344).

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

10438464576 is a wasteful number, since it uses less digits than its factorization.

10438464576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13652 (or 13642 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 10438464576 in words is "ten billion, four hundred thirty-eight million, four hundred sixty-four thousand, five hundred seventy-six".