4138725690 has 96 divisors (see below), whose sum is σ = 11754288000. Its totient is φ = 1002015360.

The previous prime is 4138725677. The next prime is 4138725719. The reversal of 4138725690 is 965278314.

4138725690 is a `hidden beast` number, since 4 + 1 + 3 + 87 + 2 + 569 + 0 = 666.

4138725690 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

4138725690 is a nontrivial binomial coefficient, being equal to C(90981, 2).

It is a super-2 number, since 2×4138725690² = 34258100674131952200, which contains 22 as substring.

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

4138725690 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 907536 + ... + 912084.

It is an arithmetic number, because the mean of its divisors is an integer number (122440500).

It is a 1-persistent number, because it is pandigital, but 2⋅4138725690 = 8277451380 is not.

Almost surely, 2^4138725690 is an apocalyptic number.

4138725690 is the 90980-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4138725690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5877144000).

4138725690 is an abundant number, since it is smaller than the sum of its proper divisors (7615562310).

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

4138725690 is a wasteful number, since it uses less digits than its factorization.

4138725690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5492 (or 5489 counting only the distinct ones).

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

The square root of 4138725690 is about 64332.9285047712. The cubic root of 4138725690 is about 1605.5440086777.

The spelling of 4138725690 in words is "four billion, one hundred thirty-eight million, seven hundred twenty-five thousand, six hundred ninety".