4015041000 has 128 divisors (see below), whose sum is σ = 13071801600. Its totient is φ = 1024108800.

The previous prime is 4015040969. The next prime is 4015041059. The reversal of 4015041000 is 1405104.

It is a super-2 number, since 2×4015041000² = 32241108463362000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39906 + ... + 98094.

It is an arithmetic number, because the mean of its divisors is an integer number (102123450).

Almost surely, 2^4015041000 is an apocalyptic number.

4015041000 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 4015041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6535900800).

4015041000 is an abundant number, since it is smaller than the sum of its proper divisors (9056760600).

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

4015041000 is a wasteful number, since it uses less digits than its factorization.

4015041000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58236 (or 58222 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 4015041000 is about 63364.3511763515. The cubic root of 4015041000 is about 1589.3882382085.

Adding to 4015041000 its reverse (1405104), we get a palindrome (4016446104).

The spelling of 4015041000 in words is "four billion, fifteen million, forty-one thousand".