4066038000 has 400 divisors, whose sum is σ = 15471524640. Its totient is φ = 1026432000.

The previous prime is 4066037971. The next prime is 4066038001. The reversal of 4066038000 is 8306604.

4066038000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4066038001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3077340 + ... + 3078660.

Almost surely, 2^4066038000 is an apocalyptic number.

4066038000 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 4066038000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7735762320).

4066038000 is an abundant number, since it is smaller than the sum of its proper divisors (11405486640).

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

4066038000 is a wasteful number, since it uses less digits than its factorization.

4066038000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4066038000 is about 63765.4922352208. The cubic root of 4066038000 is about 1596.0891464706.

The spelling of 4066038000 in words is "four billion, sixty-six million, thirty-eight thousand".