4000611540 has 96 divisors (see below), whose sum is σ = 11398593024. Its totient is φ = 1048164480.

The previous prime is 4000611539. The next prime is 4000611541. The reversal of 4000611540 is 451160004.

It is an interprime number because it is at equal distance from previous prime (4000611539) and next prime (4000611541).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000611541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1876275 + ... + 1878405.

It is an arithmetic number, because the mean of its divisors is an integer number (118735344).

Almost surely, 2^4000611540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000611540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5699296512).

4000611540 is an abundant number, since it is smaller than the sum of its proper divisors (7397981484).

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

4000611540 is a wasteful number, since it uses less digits than its factorization.

4000611540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 4000611540 is about 63250.3876667962. The cubic root of 4000611540 is about 1587.4819444492.

Adding to 4000611540 its reverse (451160004), we get a palindrome (4451771544).

The spelling of 4000611540 in words is "four billion, six hundred eleven thousand, five hundred forty".