4041306640 has 120 divisors (see below), whose sum is σ = 11407609152. Its totient is φ = 1304033280.

The previous prime is 4041306617. The next prime is 4041306649. The reversal of 4041306640 is 466031404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 4041306599 and 4041306608.

It is not an unprimeable number, because it can be changed into a prime (4041306649) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 149355 + ... + 174325.

Almost surely, 2^4041306640 is an apocalyptic number.

4041306640 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 4041306640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5703804576).

4041306640 is an abundant number, since it is smaller than the sum of its proper divisors (7366302512).

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

4041306640 is a wasteful number, since it uses less digits than its factorization.

4041306640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25025 (or 25002 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 4041306640 is about 63571.2721282184. The cubic root of 4041306640 is about 1592.8465338652.

The spelling of 4041306640 in words is "four billion, forty-one million, three hundred six thousand, six hundred forty".