4105792640 has 32 divisors (see below), whose sum is σ = 9815412060. Its totient is φ = 1642316800.

The previous prime is 4105792637. The next prime is 4105792643. The reversal of 4105792640 is 462975014.

It is an interprime number because it is at equal distance from previous prime (4105792637) and next prime (4105792643).

It can be written as a sum of positive squares in 2 ways, for example, as 3985144384 + 120648256 = 63128^2 + 10984^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 4105792594 and 4105792603.

It is not an unprimeable number, because it can be changed into a prime (4105792643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3207011 + ... + 3208290.

Almost surely, 2^4105792640 is an apocalyptic number.

4105792640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4105792640 is an abundant number, since it is smaller than the sum of its proper divisors (5709619420).

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

4105792640 is an equidigital number, since it uses as much as digits as its factorization.

4105792640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6415320 (or 6415308 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 4105792640 is about 64076.4593278998. The cubic root of 4105792640 is about 1601.2740685324.

The spelling of 4105792640 in words is "four billion, one hundred five million, seven hundred ninety-two thousand, six hundred forty".