4096055040 has 432 divisors, whose sum is σ = 16609380480. Its totient is φ = 850698240.

The previous prime is 4096055003. The next prime is 4096055053. The reversal of 4096055040 is 405506904.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 4096054992 and 4096055010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2068771 + ... + 2070749.

It is an arithmetic number, because the mean of its divisors is an integer number (38447640).

Almost surely, 2^4096055040 is an apocalyptic number.

4096055040 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 4096055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8304690240).

4096055040 is an abundant number, since it is smaller than the sum of its proper divisors (12513325440).

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

4096055040 is a wasteful number, since it uses less digits than its factorization.

4096055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 4096055040 is about 64000.4299985555. The cubic root of 4096055040 is about 1600.0071666346.

The spelling of 4096055040 in words is "four billion, ninety-six million, fifty-five thousand, forty".