4002121340 has 96 divisors (see below), whose sum is σ = 9791940480. Its totient is φ = 1345683456.

The previous prime is 4002121337. The next prime is 4002121379. The reversal of 4002121340 is 431212004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1971446 + ... + 1973474.

It is an arithmetic number, because the mean of its divisors is an integer number (101999380).

Almost surely, 2^4002121340 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 4002121340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4895970240).

4002121340 is an abundant number, since it is smaller than the sum of its proper divisors (5789819140).

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

4002121340 is a wasteful number, since it uses less digits than its factorization.

4002121340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2311 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4002121340 is about 63262.3216456684. The cubic root of 4002121340 is about 1587.6816204879.

Adding to 4002121340 its reverse (431212004), we get a palindrome (4433333344).

The spelling of 4002121340 in words is "four billion, two million, one hundred twenty-one thousand, three hundred forty".