40036035600000 has 2304 divisors, whose sum is σ = 165797400787200. Its totient is φ = 9177907200000.

The previous prime is 40036035599993. The next prime is 40036035600049. The reversal of 40036035600000 is 653063004.

40036035600000 is a `hidden beast` number, since 4 + 0 + 0 + 3 + 603 + 56 + 0 + 0 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 102920399806 + ... + 102920400194.

It is an arithmetic number, because the mean of its divisors is an integer number (71960677425).

Almost surely, 2^{40036035600000} is an apocalyptic number.

40036035600000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40036035600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82898700393600).

40036035600000 is an abundant number, since it is smaller than the sum of its proper divisors (125761365187200).

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

40036035600000 is a wasteful number, since it uses less digits than its factorization.

40036035600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 40036035600000 its reverse (653063004), we get a palindrome (40036688663004).

The spelling of 40036035600000 in words is "forty trillion, thirty-six billion, thirty-five million, six hundred thousand".