4000213140 has 96 divisors (see below), whose sum is σ = 13964396544. Its totient is φ = 831212160.

The previous prime is 4000213109. The next prime is 4000213141. The reversal of 4000213140 is 413120004.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000213141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 428304 + ... + 437543.

It is an arithmetic number, because the mean of its divisors is an integer number (145462464).

Almost surely, 2^4000213140 is an apocalyptic number.

It is an amenable number.

4000213140 is an abundant number, since it is smaller than the sum of its proper divisors (9964183404).

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

4000213140 is a wasteful number, since it uses less digits than its factorization.

4000213140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865877 (or 865875 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4000213140 is about 63247.2382005728. The cubic root of 4000213140 is about 1587.4292463558.

Adding to 4000213140 its reverse (413120004), we get a palindrome (4413333144).

The spelling of 4000213140 in words is "four billion, two hundred thirteen thousand, one hundred forty".