4138625010 has 128 divisors (see below), whose sum is σ = 11632771584. Its totient is φ = 932843520.

The previous prime is 4138624979. The next prime is 4138625039. The reversal of 4138625010 is 105268314.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 236875 + ... + 253745.

It is an arithmetic number, because the mean of its divisors is an integer number (90881028).

Almost surely, 2^4138625010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4138625010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5816385792).

4138625010 is an abundant number, since it is smaller than the sum of its proper divisors (7494146574).

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

4138625010 is a wasteful number, since it uses less digits than its factorization.

4138625010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16948.

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 4138625010 is about 64332.1460080417. The cubic root of 4138625010 is about 1605.5309895752.

The spelling of 4138625010 in words is "four billion, one hundred thirty-eight million, six hundred twenty-five thousand, ten".