4002312240 has 120 divisors (see below), whose sum is σ = 13455009360. Its totient is φ = 1066179072.

The previous prime is 4002312239. The next prime is 4002312241. The reversal of 4002312240 is 422132004.

4002312240 is a `hidden beast` number, since 400 + 23 + 1 + 2 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (4002312239) and next prime (4002312241).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×4002312240³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4002312241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 882619 + ... + 887141.

It is an arithmetic number, because the mean of its divisors is an integer number (112125078).

Almost surely, 2^4002312240 is an apocalyptic number.

4002312240 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 4002312240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6727504680).

4002312240 is an abundant number, since it is smaller than the sum of its proper divisors (9452697120).

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

4002312240 is a wasteful number, since it uses less digits than its factorization.

4002312240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5771 (or 5762 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4002312240 is about 63263.8304246589. The cubic root of 4002312240 is about 1587.7068640672.

Adding to 4002312240 its reverse (422132004), we get a palindrome (4424444244).

The spelling of 4002312240 in words is "four billion, two million, three hundred twelve thousand, two hundred forty".