40735348900 has 27 divisors (see below), whose sum is σ = 88400087041. Its totient is φ = 16293332240.

The previous prime is 40735348877. The next prime is 40735348909. The reversal of 40735348900 is 984353704.

The square root of 40735348900 is 201830.

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

It can be written as a sum of positive squares in only one way, i.e., 14664725604 + 26070623296 = 121098^2 + 161464^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40735348909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2008209 + ... + 2028391.

Almost surely, 2^40735348900 is an apocalyptic number.

40735348900 is the 201830-th square number.

It is an amenable number.

40735348900 is an abundant number, since it is smaller than the sum of its proper divisors (47664738141).

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

40735348900 is an frugal number, since it uses more digits than its factorization.

40735348900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40380 (or 20190 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 40735348900 in words is "forty billion, seven hundred thirty-five million, three hundred forty-eight thousand, nine hundred".