4001030000 has 100 divisors (see below), whose sum is σ = 10567810968. Its totient is φ = 1454880000.

The previous prime is 4001029969. The next prime is 4001030003. The reversal of 4001030000 is 301004.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 4001030000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001030003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 91814 + ... + 128186.

Almost surely, 2^4001030000 is an apocalyptic number.

4001030000 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 4001030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5283905484).

4001030000 is an abundant number, since it is smaller than the sum of its proper divisors (6566780968).

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

4001030000 is a wasteful number, since it uses less digits than its factorization.

4001030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36412 (or 36391 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 4001030000 is about 63253.6955442131. The cubic root of 4001030000 is about 1587.5372921985.

Adding to 4001030000 its reverse (301004), we get a palindrome (4001331004).

The spelling of 4001030000 in words is "four billion, one million, thirty thousand".