4020018139872 has 1536 divisors, whose sum is σ = 14863564800000. Its totient is φ = 1054064793600.

The previous prime is 4020018139867. The next prime is 4020018139933. The reversal of 4020018139872 is 2789318100204.

It is a happy number.

4020018139872 is a `hidden beast` number, since 40 + 200 + 18 + 1 + 398 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21047215297 + ... + 21047215487.

It is an arithmetic number, because the mean of its divisors is an integer number (9676800000).

Almost surely, 2^{4020018139872} is an apocalyptic number.

4020018139872 is a gapful number since it is divisible by the number (42) 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 4020018139872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7431782400000).

4020018139872 is an abundant number, since it is smaller than the sum of its proper divisors (10843546660128).

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

4020018139872 is a wasteful number, since it uses less digits than its factorization.

4020018139872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 4020018139872 in words is "four trillion, twenty billion, eighteen million, one hundred thirty-nine thousand, eight hundred seventy-two".