4056043680 has 192 divisors, whose sum is σ = 15288376320. Its totient is φ = 998396928.

The previous prime is 4056043679. The next prime is 4056043681. The reversal of 4056043680 is 863406504.

4056043680 is a `hidden beast` number, since 40 + 5 + 604 + 3 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4056043679) and next prime (4056043681).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4056043681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20049 + ... + 92271.

It is an arithmetic number, because the mean of its divisors is an integer number (79626960).

Almost surely, 2^4056043680 is an apocalyptic number.

4056043680 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 4056043680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7644188160).

4056043680 is an abundant number, since it is smaller than the sum of its proper divisors (11232332640).

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

4056043680 is a wasteful number, since it uses less digits than its factorization.

4056043680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72260 (or 72246 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4056043680 is about 63687.0762400034. The cubic root of 4056043680 is about 1594.7803446824.

The spelling of 4056043680 in words is "four billion, fifty-six million, forty-three thousand, six hundred eighty".