4002020440 has 64 divisors (see below), whose sum is σ = 9867432960. Its totient is φ = 1448718720.

The previous prime is 4002020431. The next prime is 4002020443. The reversal of 4002020440 is 440202004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002020443) 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, 77727 + ... + 118513.

It is an arithmetic number, because the mean of its divisors is an integer number (154178640).

Almost surely, 2^4002020440 is an apocalyptic number.

4002020440 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 4002020440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4933716480).

4002020440 is an abundant number, since it is smaller than the sum of its proper divisors (5865412520).

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

4002020440 is a wasteful number, since it uses less digits than its factorization.

4002020440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41032 (or 41028 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4002020440 is about 63261.5241675380. The cubic root of 4002020440 is about 1587.6682776956.

Adding to 4002020440 its reverse (440202004), we get a palindrome (4442222444).

The spelling of 4002020440 in words is "four billion, two million, twenty thousand, four hundred forty".