4020540000 has 240 divisors, whose sum is σ = 13327321392. Its totient is φ = 1060864000.

The previous prime is 4020539993. The next prime is 4020540031. The reversal of 4020540000 is 450204.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6779704 + ... + 6780296.

Almost surely, 2^4020540000 is an apocalyptic number.

4020540000 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 4020540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6663660696).

4020540000 is an abundant number, since it is smaller than the sum of its proper divisors (9306781392).

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

4020540000 is a wasteful number, since it uses less digits than its factorization.

4020540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 4020540000 is about 63407.7282356023. The cubic root of 4020540000 is about 1590.1135158858.

Adding to 4020540000 its reverse (450204), we get a palindrome (4020990204).

The spelling of 4020540000 in words is "four billion, twenty million, five hundred forty thousand".