10338800472 has 1008 divisors, whose sum is σ = 41761606320. Its totient is φ = 2371057920.

The previous prime is 10338800447. The next prime is 10338800473. The reversal of 10338800472 is 27400883301.

10338800472 is a `hidden beast` number, since 103 + 3 + 8 + 80 + 0 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10338800473) by changing a digit.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 449513053 + ... + 449513075.

It is an arithmetic number, because the mean of its divisors is an integer number (41430165).

Almost surely, 2^10338800472 is an apocalyptic number.

10338800472 is a gapful number since it is divisible by the number (12) 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 10338800472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20880803160).

10338800472 is an abundant number, since it is smaller than the sum of its proper divisors (31422805848).

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

10338800472 is a wasteful number, since it uses less digits than its factorization.

10338800472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 10338800472 in words is "ten billion, three hundred thirty-eight million, eight hundred thousand, four hundred seventy-two".