4010500000 has 168 divisors, whose sum is σ = 10645879356. Its totient is φ = 1478400000.

The previous prime is 4010499973. The next prime is 4010500033. The reversal of 4010500000 is 50104.

It can be written as a sum of positive squares in 14 ways, for example, as 3929283856 + 81216144 = 62684^2 + 9012^2 .

It is a super-2 number, since 2×4010500000² = 32168220500000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 4010500000.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 6499692 + ... + 6500308.

Almost surely, 2^4010500000 is an apocalyptic number.

4010500000 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 4010500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322939678).

4010500000 is an abundant number, since it is smaller than the sum of its proper divisors (6635379356).

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

4010500000 is an frugal number, since it uses more digits than its factorization.

4010500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 4010500000 is about 63328.5085881548. The cubic root of 4010500000 is about 1588.7888143040.

Adding to 4010500000 its reverse (50104), we get a palindrome (4010550104).

The spelling of 4010500000 in words is "four billion, ten million, five hundred thousand".