39640810000 has 225 divisors, whose sum is σ = 106078535409. Its totient is φ = 14335200000.

The previous prime is 39640809997. The next prime is 39640810003. The reversal of 39640810000 is 1804693.

The square root of 39640810000 is 199100.

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

It is an interprime number because it is at equal distance from previous prime (39640809997) and next prime (39640810003).

It can be written as a sum of positive squares in 7 ways, for example, as 38389348624 + 1251461376 = 195932^2 + 35376^2 .

It is a super-2 number, since 2×39640810000² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (39640810003) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 219009910 + ... + 219010090.

Almost surely, 2^39640810000 is an apocalyptic number.

39640810000 is the 199100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39640810000

39640810000 is an abundant number, since it is smaller than the sum of its proper divisors (66437725409).

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

39640810000 is an equidigital number, since it uses as much as digits as its factorization.

39640810000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

Multiplying 39640810000 by its product of nonzero digits (5184), we get a square (205497959040000 = 14335200²).

The spelling of 39640810000 in words is "thirty-nine billion, six hundred forty million, eight hundred ten thousand".