4138213860 has 240 divisors, whose sum is σ = 14251228992. Its totient is φ = 996883200.

The previous prime is 4138213837. The next prime is 4138213861. The reversal of 4138213860 is 683128314.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (4138213861) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3224779 + ... + 3226061.

Almost surely, 2^4138213860 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4138213860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7125614496).

4138213860 is an abundant number, since it is smaller than the sum of its proper divisors (10113015132).

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

4138213860 is a wasteful number, since it uses less digits than its factorization.

4138213860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4138213860 is about 64328.9504033759. The cubic root of 4138213860 is about 1605.4778208758.

The spelling of 4138213860 in words is "four billion, one hundred thirty-eight million, two hundred thirteen thousand, eight hundred sixty".