4009975200 has 576 divisors, whose sum is σ = 18088842240. Its totient is φ = 832896000.

The previous prime is 4009975183. The next prime is 4009975201. The reversal of 4009975200 is 25799004.

4009975200 is a `hidden beast` number, since 40 + 0 + 9 + 97 + 520 + 0 = 666.

4009975200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4009975200² = 32159802209230080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4009975201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1661995 + ... + 1664405.

It is an arithmetic number, because the mean of its divisors is an integer number (31404240).

Almost surely, 2^4009975200 is an apocalyptic number.

4009975200 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 4009975200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9044421120).

4009975200 is an abundant number, since it is smaller than the sum of its proper divisors (14078867040).

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

4009975200 is a wasteful number, since it uses less digits than its factorization.

4009975200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 4009975200 is about 63324.3649790505. The cubic root of 4009975200 is about 1588.7195101656.

The spelling of 4009975200 in words is "four billion, nine million, nine hundred seventy-five thousand, two hundred".