4072061000 has 256 divisors, whose sum is σ = 12144038400. Its totient is φ = 1244160000.

The previous prime is 4072060991. The next prime is 4072061003. The reversal of 4072061000 is 1602704.

4072061000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4072061003) 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, 2260100 + ... + 2261900.

It is an arithmetic number, because the mean of its divisors is an integer number (47437650).

Almost surely, 2^4072061000 is an apocalyptic number.

4072061000 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 4072061000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6072019200).

4072061000 is an abundant number, since it is smaller than the sum of its proper divisors (8071977400).

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

4072061000 is a wasteful number, since it uses less digits than its factorization.

4072061000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 4072061000 is about 63812.7024972301. The cubic root of 4072061000 is about 1596.8768503852.

Adding to 4072061000 its reverse (1602704), we get a palindrome (4073663704).

The spelling of 4072061000 in words is "four billion, seventy-two million, sixty-one thousand".