10438625790 has 64 divisors (see below), whose sum is σ = 27858827520. Its totient is φ = 2781384480.

The previous prime is 10438625779. The next prime is 10438625801. The reversal of 10438625790 is 9752683401.

10438625790 is a `hidden beast` number, since 10 + 4 + 3 + 8 + 62 + 579 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10438625779) and next prime (10438625801).

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 333597 + ... + 363543.

It is an arithmetic number, because the mean of its divisors is an integer number (435294180).

It is a 1-persistent number, because it is pandigital, but 2⋅10438625790 = 20877251580 is not.

Almost surely, 2^10438625790 is an apocalyptic number.

10438625790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10438625790 is an abundant number, since it is smaller than the sum of its proper divisors (17420201730).

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

10438625790 is a wasteful number, since it uses less digits than its factorization.

10438625790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31254 (or 31248 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 10438625790 in words is "ten billion, four hundred thirty-eight million, six hundred twenty-five thousand, seven hundred ninety".