4139869440 has 288 divisors, whose sum is σ = 15198333696. Its totient is φ = 940769280.

The previous prime is 4139869417. The next prime is 4139869453. The reversal of 4139869440 is 449689314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4139869440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6262710 + ... + 6263370.

It is an arithmetic number, because the mean of its divisors is an integer number (52771992).

Almost surely, 2^4139869440 is an apocalyptic number.

4139869440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4139869440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7599166848).

4139869440 is an abundant number, since it is smaller than the sum of its proper divisors (11058464256).

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

4139869440 is a wasteful number, since it uses less digits than its factorization.

4139869440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 4139869440 is about 64341.8171953513. The cubic root of 4139869440 is about 1605.6918941191.

The spelling of 4139869440 in words is "four billion, one hundred thirty-nine million, eight hundred sixty-nine thousand, four hundred forty".