4002011340 has 48 divisors (see below), whose sum is σ = 11567109120. Its totient is φ = 1032776640.

The previous prime is 4002011317. The next prime is 4002011341. The reversal of 4002011340 is 431102004.

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

It is not an unprimeable number, because it can be changed into a prime (4002011341) 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 15 ways as a sum of consecutive naturals, for example, 1073950 + ... + 1077669.

It is an arithmetic number, because the mean of its divisors is an integer number (240981440).

Almost surely, 2^4002011340 is an apocalyptic number.

It is an amenable number.

4002011340 is an abundant number, since it is smaller than the sum of its proper divisors (7565097780).

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

4002011340 is a wasteful number, since it uses less digits than its factorization.

4002011340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151662 (or 2151660 counting only the distinct ones).

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

The square root of 4002011340 is about 63261.4522438428. The cubic root of 4002011340 is about 1587.6670743207.

Adding to 4002011340 its reverse (431102004), we get a palindrome (4433113344).

It can be divided in two parts, 40020 and 11340, that added together give a triangular number (51360 = T₃₂₀).

The spelling of 4002011340 in words is "four billion, two million, eleven thousand, three hundred forty".