40436771071104 has 48 divisors (see below), whose sum is σ = 116361020924070. Its totient is φ = 13478923689984.

The previous prime is 40436771071043. The next prime is 40436771071129. The reversal of 40436771071104 is 40117017763404.

40436771071104 is a `hidden beast` number, since 4 + 0 + 436 + 7 + 7 + 107 + 1 + 104 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38419666689600 + 2017104381504 = 6198360^2 + 1420248^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 40436771071104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17550680737 + ... + 17550683040.

Almost surely, 2^{40436771071104} is an apocalyptic number.

It is an amenable number.

40436771071104 is an abundant number, since it is smaller than the sum of its proper divisors (75924249852966).

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

40436771071104 is a wasteful number, since it uses less digits than its factorization.

40436771071104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35101363797 (or 35101363782 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 40436771071104 in words is "forty trillion, four hundred thirty-six billion, seven hundred seventy-one million, seventy-one thousand, one hundred four".