4139441460 has 432 divisors, whose sum is σ = 16614998400. Its totient is φ = 814302720.

The previous prime is 4139441459. The next prime is 4139441461. The reversal of 4139441460 is 641449314.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4139441459) and next prime (4139441461).

It is a super-3 number, since 3×4139441460³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4139441461) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2896026 + ... + 2897454.

Almost surely, 2^4139441460 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 4139441460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8307499200).

4139441460 is an abundant number, since it is smaller than the sum of its proper divisors (12475556940).

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

4139441460 is a wasteful number, since it uses less digits than its factorization.

4139441460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4139441460 is about 64338.4912785496. The cubic root of 4139441460 is about 1605.6365600311.

The spelling of 4139441460 in words is "four billion, one hundred thirty-nine million, four hundred forty-one thousand, four hundred sixty".