40821777936 has 135 divisors (see below), whose sum is σ = 116043016999. Its totient is φ = 13396325376.

The previous prime is 40821777929. The next prime is 40821777937. The reversal of 40821777936 is 63977712804.

The square root of 40821777936 is 202044.

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 32033840400 + 8787937536 = 178980^2 + 93744^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40821777937) 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 26 ways as a sum of consecutive naturals, for example, 273971590 + ... + 273971738.

Almost surely, 2^40821777936 is an apocalyptic number.

40821777936 is the 202044-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40821777936

40821777936 is an abundant number, since it is smaller than the sum of its proper divisors (75221239063).

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

40821777936 is a wasteful number, since it uses less digits than its factorization.

40821777936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 40821777936 in words is "forty billion, eight hundred twenty-one million, seven hundred seventy-seven thousand, nine hundred thirty-six".