4020067508160 has 448 divisors, whose sum is σ = 14136372357120. Its totient is φ = 959742443520.

The previous prime is 4020067508131. The next prime is 4020067508161. The reversal of 4020067508160 is 618057600204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4020067508161) 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, 554259094 + ... + 554266346.

Almost surely, 2^{4020067508160} is an apocalyptic number.

4020067508160 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 4020067508160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7068186178560).

4020067508160 is an abundant number, since it is smaller than the sum of its proper divisors (10116304848960).

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

4020067508160 is a wasteful number, since it uses less digits than its factorization.

4020067508160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8076 (or 8066 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 4020067508160 in words is "four trillion, twenty billion, sixty-seven million, five hundred eight thousand, one hundred sixty".