4096449739008 has 864 divisors, whose sum is σ = 14270822092800. Its totient is φ = 1159706419200.

The previous prime is 4096449739001. The next prime is 4096449739049. The reversal of 4096449739008 is 8009379446904.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×4096449739008² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4096449739001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 615171583 + ... + 615178241.

It is an arithmetic number, because the mean of its divisors is an integer number (16517155200).

Almost surely, 2^{4096449739008} is an apocalyptic number.

4096449739008 is a gapful number since it is divisible by the number (48) 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 4096449739008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7135411046400).

4096449739008 is an abundant number, since it is smaller than the sum of its proper divisors (10174372353792).

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

4096449739008 is a wasteful number, since it uses less digits than its factorization.

4096449739008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6761 (or 6735 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 4096449739008 in words is "four trillion, ninety-six billion, four hundred forty-nine million, seven hundred thirty-nine thousand, eight".