4020876488640 has 448 divisors, whose sum is σ = 14374438225920. Its totient is φ = 943924776960.

The previous prime is 4020876488627. The next prime is 4020876488641. The reversal of 4020876488640 is 468846780204.

It is a happy number.

4020876488640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4020876488641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41695519 + ... + 41791841.

Almost surely, 2^{4020876488640} is an apocalyptic number.

4020876488640 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 4020876488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7187219112960).

4020876488640 is an abundant number, since it is smaller than the sum of its proper divisors (10353561737280).

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

4020876488640 is a wasteful number, since it uses less digits than its factorization.

4020876488640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96480 (or 96470 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 57.

The spelling of 4020876488640 in words is "four trillion, twenty billion, eight hundred seventy-six million, four hundred eighty-eight thousand, six hundred forty".