4003041000 has 256 divisors, whose sum is σ = 15114677760. Its totient is φ = 861081600.

The previous prime is 4003040959. The next prime is 4003041019. The reversal of 4003041000 is 1403004.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 351394 + ... + 362606.

It is an arithmetic number, because the mean of its divisors is an integer number (59041710).

Almost surely, 2^4003041000 is an apocalyptic number.

4003041000 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 4003041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7557338880).

4003041000 is an abundant number, since it is smaller than the sum of its proper divisors (11111636760).

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

4003041000 is a wasteful number, since it uses less digits than its factorization.

4003041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11261 (or 11247 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 4003041000 is about 63269.5898516815. The cubic root of 4003041000 is about 1587.8032239516.

Adding to 4003041000 its reverse (1403004), we get a palindrome (4004444004).

The spelling of 4003041000 in words is "four billion, three million, forty-one thousand".