40475536992 has 144 divisors (see below), whose sum is σ = 125906468688. Its totient is φ = 12232074240.

The previous prime is 40475536957. The next prime is 40475536993. The reversal of 40475536992 is 29963557404.

40475536992 is a `hidden beast` number, since 40 + 47 + 553 + 6 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40475536993) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1164538 + ... + 1198790.

It is an arithmetic number, because the mean of its divisors is an integer number (874350477).

Almost surely, 2^40475536992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40475536992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62953234344).

40475536992 is an abundant number, since it is smaller than the sum of its proper divisors (85430931696).

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

40475536992 is a wasteful number, since it uses less digits than its factorization.

40475536992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34653 (or 34642 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 40475536992 in words is "forty billion, four hundred seventy-five million, five hundred thirty-six thousand, nine hundred ninety-two".