4049354040 has 128 divisors (see below), whose sum is σ = 12470112000. Its totient is φ = 1051573248.

The previous prime is 4049354011. The next prime is 4049354047. The reversal of 4049354040 is 404539404.

It is a junction number, because it is equal to n+sod(n) for n = 4049353992 and 4049354010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4049354047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 712731 + ... + 718389.

It is an arithmetic number, because the mean of its divisors is an integer number (97422750).

Almost surely, 2^4049354040 is an apocalyptic number.

4049354040 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 4049354040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6235056000).

4049354040 is an abundant number, since it is smaller than the sum of its proper divisors (8420757960).

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

4049354040 is a wasteful number, since it uses less digits than its factorization.

4049354040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5829 (or 5825 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 4049354040 is about 63634.5349633357. The cubic root of 4049354040 is about 1593.9031042150.

The spelling of 4049354040 in words is "four billion, forty-nine million, three hundred fifty-four thousand, forty".