40826855632752 has 320 divisors, whose sum is σ = 145525974630400. Its totient is φ = 10694397807360.

The previous prime is 40826855632747. The next prime is 40826855632757. The reversal of 40826855632752 is 25723655862804.

40826855632752 is a `hidden beast` number, since 4 + 0 + 8 + 2 + 6 + 8 + 556 + 3 + 2 + 75 + 2 = 666.

40826855632752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40826855632747) and next prime (40826855632757).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 40826855632752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40826855632757) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 9679768 + ... + 13242039.

It is an arithmetic number, because the mean of its divisors is an integer number (454768670720).

Almost surely, 2^{40826855632752} is an apocalyptic number.

40826855632752 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

40826855632752 is an abundant number, since it is smaller than the sum of its proper divisors (104699118997648).

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

40826855632752 is a wasteful number, since it uses less digits than its factorization.

40826855632752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22921881 (or 22921869 counting only the distinct ones).

The product of its (nonzero) digits is 193536000, while the sum is 63.

The spelling of 40826855632752 in words is "forty trillion, eight hundred twenty-six billion, eight hundred fifty-five million, six hundred thirty-two thousand, seven hundred fifty-two".