4002040020 has 192 divisors, whose sum is σ = 13197219840. Its totient is φ = 895910400.

The previous prime is 4002039973. The next prime is 4002040039. The reversal of 4002040020 is 200402004.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 4002039978 and 4002040005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 435675 + ... + 444765.

It is an arithmetic number, because the mean of its divisors is an integer number (68735520).

Almost surely, 2^4002040020 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 4002040020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6598609920).

4002040020 is an abundant number, since it is smaller than the sum of its proper divisors (9195179820).

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

4002040020 is a wasteful number, since it uses less digits than its factorization.

4002040020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9166 (or 9164 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 4002040020 is about 63261.6789217612. The cubic root of 4002040020 is about 1587.6708669289.

Adding to 4002040020 its reverse (200402004), we get a palindrome (4202442024).

The spelling of 4002040020 in words is "four billion, two million, forty thousand, twenty".