39573144900 has 243 divisors, whose sum is σ = 131288016951. Its totient is φ = 9968780160.

The previous prime is 39573144893. The next prime is 39573144913. The reversal of 39573144900 is 944137593.

The square root of 39573144900 is 198930.

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

39573144900 is a `hidden beast` number, since 3 + 95 + 73 + 1 + 4 + 490 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 407151684 + 39165993216 = 20178^2 + 197904^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 80 ways as a sum of consecutive naturals, for example, 113389926 + ... + 113390274.

Almost surely, 2^39573144900 is an apocalyptic number.

39573144900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

39573144900 is the 198930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39573144900

39573144900 is an abundant number, since it is smaller than the sum of its proper divisors (91714872051).

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

39573144900 is a wasteful number, since it uses less digits than its factorization.

39573144900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 39573144900 in words is "thirty-nine billion, five hundred seventy-three million, one hundred forty-four thousand, nine hundred".