10438785630 has 512 divisors, whose sum is σ = 36771840000. Its totient is φ = 2045772288.

The previous prime is 10438785619. The next prime is 10438785631. The reversal of 10438785630 is 3658783401.

10438785630 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 8 + 7 + 8 + 5 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10438785631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 27542781 + ... + 27543159.

It is an arithmetic number, because the mean of its divisors is an integer number (71820000).

Almost surely, 2^10438785630 is an apocalyptic number.

10438785630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10438785630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18385920000).

10438785630 is an abundant number, since it is smaller than the sum of its proper divisors (26333054370).

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

10438785630 is a wasteful number, since it uses less digits than its factorization.

10438785630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 10438785630 in words is "ten billion, four hundred thirty-eight million, seven hundred eighty-five thousand, six hundred thirty".