4049074656 has 480 divisors, whose sum is σ = 13831171200. Its totient is φ = 1150571520.

The previous prime is 4049074649. The next prime is 4049074663. The reversal of 4049074656 is 6564709404.

4049074656 is a `hidden beast` number, since 40 + 490 + 74 + 6 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (4049074649) and next prime (4049074663).

It is a super-3 number, since 3×4049074656³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48783991 + ... + 48784073.

It is an arithmetic number, because the mean of its divisors is an integer number (28814940).

Almost surely, 2^4049074656 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 4049074656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6915585600).

4049074656 is an abundant number, since it is smaller than the sum of its proper divisors (9782096544).

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

4049074656 is a wasteful number, since it uses less digits than its factorization.

4049074656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 4049074656 is about 63632.3397023872. The cubic root of 4049074656 is about 1593.8664464121.

The spelling of 4049074656 in words is "four billion, forty-nine million, seventy-four thousand, six hundred fifty-six".