4078097524900 has 243 divisors, whose sum is σ = 10941897545481. Its totient is φ = 1315182059520.

The previous prime is 4078097524847. The next prime is 4078097524909. The reversal of 4078097524900 is 94257908704.

The square root of 4078097524900 is 2019430.

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

It can be written as a sum of positive squares in 13 ways, for example, as 6838959204 + 4071258565696 = 82698^2 + 2017736^2 .

It is a super-2 number, since 2×4078097524900² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4078097524909) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2403120852 + ... + 2403122548.

Almost surely, 2^{4078097524900} is an apocalyptic number.

4078097524900 is the 2019430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4078097524900

4078097524900 is an abundant number, since it is smaller than the sum of its proper divisors (6863800020581).

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

4078097524900 is a wasteful number, since it uses less digits than its factorization.

4078097524900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3456 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 55.

The spelling of 4078097524900 in words is "four trillion, seventy-eight billion, ninety-seven million, five hundred twenty-four thousand, nine hundred".