4005234640 has 80 divisors (see below), whose sum is σ = 10176241536. Its totient is φ = 1453939200.

The previous prime is 4005234589. The next prime is 4005234641. The reversal of 4005234640 is 464325004.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4005234599 and 4005234608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005234641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 551674 + ... + 558886.

Almost surely, 2^4005234640 is an apocalyptic number.

4005234640 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 4005234640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5088120768).

4005234640 is an abundant number, since it is smaller than the sum of its proper divisors (6171006896).

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

4005234640 is a wasteful number, since it uses less digits than its factorization.

4005234640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7868 (or 7862 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 4005234640 is about 63286.9231358264. The cubic root of 4005234640 is about 1588.0932062113.

Adding to 4005234640 its reverse (464325004), we get a palindrome (4469559644).

The spelling of 4005234640 in words is "four billion, five million, two hundred thirty-four thousand, six hundred forty".