4018008000 has 448 divisors, whose sum is σ = 14378757120. Its totient is φ = 985600000.

The previous prime is 4018007999. The next prime is 4018008017. The reversal of 4018008000 is 8008104.

It is a super-2 number, since 2×4018008000² = 32288776576128000000, which contains 22 as substring.

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, 16007875 + ... + 16008125.

It is an arithmetic number, because the mean of its divisors is an integer number (32095440).

Almost surely, 2^4018008000 is an apocalyptic number.

4018008000 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 4018008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7189378560).

4018008000 is an abundant number, since it is smaller than the sum of its proper divisors (10360749120).

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

4018008000 is a wasteful number, since it uses less digits than its factorization.

4018008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 4018008000 is about 63387.7590706597. The cubic root of 4018008000 is about 1589.7796458999.

The spelling of 4018008000 in words is "four billion, eighteen million, eight thousand".