40492450128672 has 60 divisors (see below), whose sum is σ = 119087171045766. Its totient is φ = 13497483375360.

The previous prime is 40492450128601. The next prime is 40492450128679. The reversal of 40492450128672 is 27682105429404.

40492450128672 is a `hidden beast` number, since 4 + 0 + 4 + 9 + 2 + 450 + 128 + 67 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25897880288016 + 14594569840656 = 5088996^2 + 3820284^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (40492450128679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7811041029 + ... + 7811046212.

Almost surely, 2^{40492450128672} is an apocalyptic number.

It is an amenable number.

40492450128672 is an abundant number, since it is smaller than the sum of its proper divisors (78594720917094).

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

40492450128672 is a wasteful number, since it uses less digits than its factorization.

40492450128672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15622087263 (or 15622087246 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 40492450128672 in words is "forty trillion, four hundred ninety-two billion, four hundred fifty million, one hundred twenty-eight thousand, six hundred seventy-two".