4056690960 has 480 divisors, whose sum is σ = 16671432960. Its totient is φ = 862912512.

The previous prime is 4056690949. The next prime is 4056690973. The reversal of 4056690960 is 690966504.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 9681631 + ... + 9682049.

It is an arithmetic number, because the mean of its divisors is an integer number (34732152).

Almost surely, 2^4056690960 is an apocalyptic number.

4056690960 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 4056690960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8335716480).

4056690960 is an abundant number, since it is smaller than the sum of its proper divisors (12614742000).

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

4056690960 is a wasteful number, since it uses less digits than its factorization.

4056690960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 4056690960 is about 63692.1577590209. The cubic root of 4056690960 is about 1594.8651740215.

The spelling of 4056690960 in words is "four billion, fifty-six million, six hundred ninety thousand, nine hundred sixty".