4075997588100 has 243 divisors, whose sum is σ = 12883383533293. Its totient is φ = 1077871822080.

The previous prime is 4075997588087. The next prime is 4075997588111. The reversal of 4075997588100 is 18857995704.

The square root of 4075997588100 is 2018910.

It is a perfect power (a square), and thus also a powerful number.

4075997588100 is a `hidden beast` number, since 40 + 7 + 5 + 9 + 9 + 7 + 588 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 1793408429124 + 2282589158976 = 1339182^2 + 1510824^2 .

It is a super-2 number, since 2×4075997588100² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10478142706 + ... + 10478143094.

Almost surely, 2^{4075997588100} is an apocalyptic number.

4075997588100 is the 2018910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4075997588100

4075997588100 is an abundant number, since it is smaller than the sum of its proper divisors (8807385945193).

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

4075997588100 is a wasteful number, since it uses less digits than its factorization.

4075997588100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 63.

The spelling of 4075997588100 in words is "four trillion, seventy-five billion, nine hundred ninety-seven million, five hundred eighty-eight thousand, one hundred".