4049196318720 has 1536 divisors, whose sum is σ = 16733759328000. Its totient is φ = 886717808640.

The previous prime is 4049196318719. The next prime is 4049196318721. The reversal of 4049196318720 is 278136919404.

4049196318720 is a `hidden beast` number, since 40 + 491 + 9 + 6 + 31 + 87 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4049196318719) and next prime (4049196318721).

It is a tau number, because it is divible by the number of its divisors (1536).

It is not an unprimeable number, because it can be changed into a prime (4049196318721) 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, 37148590026 + ... + 37148590134.

Almost surely, 2^{4049196318720} is an apocalyptic number.

4049196318720 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 4049196318720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8366879664000).

4049196318720 is an abundant number, since it is smaller than the sum of its proper divisors (12684563009280).

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

4049196318720 is a wasteful number, since it uses less digits than its factorization.

4049196318720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 4049196318720 in words is "four trillion, forty-nine billion, one hundred ninety-six million, three hundred eighteen thousand, seven hundred twenty".