40729595623632 has 960 divisors, whose sum is σ = 134677002620160. Its totient is φ = 11851370496000.

The previous prime is 40729595623627. The next prime is 40729595623643. The reversal of 40729595623632 is 23632659592704.

It is a happy number.

40729595623632 is a `hidden beast` number, since 4 + 0 + 7 + 2 + 9 + 5 + 9 + 562 + 3 + 63 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 40729595623632.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 5027720382 + ... + 5027728482.

It is an arithmetic number, because the mean of its divisors is an integer number (140288544396).

Almost surely, 2^{40729595623632} 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 40729595623632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67338501310080).

40729595623632 is an abundant number, since it is smaller than the sum of its proper divisors (93947406996528).

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

40729595623632 is a wasteful number, since it uses less digits than its factorization.

40729595623632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8274 (or 8256 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 63.

The spelling of 40729595623632 in words is "forty trillion, seven hundred twenty-nine billion, five hundred ninety-five million, six hundred twenty-three thousand, six hundred thirty-two".