39140665600 has 81 divisors (see below), whose sum is σ = 96918453723. Its totient is φ = 15649935360.

The previous prime is 39140665561. The next prime is 39140665601. The reversal of 39140665600 is 656604193.

The square root of 39140665600 is 197840.

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

It can be written as a sum of positive squares in 4 ways, for example, as 511121664 + 38629543936 = 22608^2 + 196544^2 .

It is a super-2 number, since 2×39140665600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39140665601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15825964 + ... + 15828436.

Almost surely, 2^39140665600 is an apocalyptic number.

39140665600 is the 197840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39140665600

39140665600 is an abundant number, since it is smaller than the sum of its proper divisors (57777788123).

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

39140665600 is an frugal number, since it uses more digits than its factorization.

39140665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4972 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The spelling of 39140665600 in words is "thirty-nine billion, one hundred forty million, six hundred sixty-five thousand, six hundred".