40311134301025 has 81 divisors (see below), whose sum is σ = 58444122385593. Its totient is φ = 27501275289600.

The previous prime is 40311134301019. The next prime is 40311134301071. The reversal of 40311134301025 is 52010343111304.

The square root of 40311134301025 is 6349105.

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

40311134301025 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 4139137353169 + 36171996947856 = 2034487^2 + 6014316^2 .

It is not a de Polignac number, because 40311134301025 - 2³ = 40311134301017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40311134300984 and 40311134301002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 62887884705 + ... + 62887885345.

Almost surely, 2^{40311134301025} is an apocalyptic number.

40311134301025 is the 6349105-th square number.

40311134301025 is the 3174553-rd centered octagonal number.

It is an amenable number.

40311134301025 is a deficient number, since it is larger than the sum of its proper divisors (18132988084568).

40311134301025 is an frugal number, since it uses more digits than its factorization.

40311134301025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 40311134301025 its reverse (52010343111304), we get a palindrome (92321477412329).

The spelling of 40311134301025 in words is "forty trillion, three hundred eleven billion, one hundred thirty-four million, three hundred one thousand, twenty-five".