4015625000 has 80 divisors (see below), whose sum is σ = 9448241220. Its totient is φ = 1600000000.

The previous prime is 4015624973. The next prime is 4015625011. The reversal of 4015625000 is 5265104.

It can be written as a sum of positive squares in 10 ways, for example, as 3645985924 + 369639076 = 60382^2 + 19226^2 .

It is a super-2 number, since 2×4015625000² = 32250488281250000000, which contains 22 as substring.

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 19 ways as a sum of consecutive naturals, for example, 15624872 + ... + 15625128.

Almost surely, 2^4015625000 is an apocalyptic number.

4015625000 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 4015625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4724120610).

4015625000 is an abundant number, since it is smaller than the sum of its proper divisors (5432616220).

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

4015625000 is an frugal number, since it uses more digits than its factorization.

4015625000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 4015625000 is about 63368.9592781829. The cubic root of 4015625000 is about 1589.4652949336.

It can be divided in two parts, 40156 and 25000, that added together give a palindrome (65156).

The spelling of 4015625000 in words is "four billion, fifteen million, six hundred twenty-five thousand".