40892928400 has 45 divisors (see below), whose sum is σ = 98254978113. Its totient is φ = 16355553600.

The previous prime is 40892928389. The next prime is 40892928437. The reversal of 40892928400 is 482929804.

The square root of 40892928400 is 202220.

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., 14721454224 + 26171474176 = 121332^2 + 161776^2 .

It is a Duffinian number.

It is an unprimeable number.

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, 4039345 + ... + 4049455.

Almost surely, 2^40892928400 is an apocalyptic number.

40892928400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

40892928400 is the 202220-th square number.

It is an amenable number.

40892928400 is an abundant number, since it is smaller than the sum of its proper divisors (57362049713).

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

40892928400 is an frugal number, since it uses more digits than its factorization.

40892928400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20240 (or 10118 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The spelling of 40892928400 in words is "forty billion, eight hundred ninety-two million, nine hundred twenty-eight thousand, four hundred".