40348756900 has 81 divisors (see below), whose sum is σ = 89476070691. Its totient is φ = 15793202880.

The previous prime is 40348756873. The next prime is 40348756907. The reversal of 40348756900 is 965784304.

The square root of 40348756900 is 200870.

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

40348756900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 303944356 + 40044812544 = 17434^2 + 200112^2 .

It is a super-2 number, since 2×40348756900² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40348756907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 106460911 + ... + 106461289.

Almost surely, 2^40348756900 is an apocalyptic number.

40348756900 is the 200870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40348756900

40348756900 is an abundant number, since it is smaller than the sum of its proper divisors (49127313791).

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

40348756900 is an equidigital number, since it uses as much as digits as its factorization.

40348756900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 40348756900 in words is "forty billion, three hundred forty-eight million, seven hundred fifty-six thousand, nine hundred".