36401026024000 has 224 divisors, whose sum is σ = 98359495228800. Its totient is φ = 13234427136000.

The previous prime is 36401026023959. The next prime is 36401026024003. The reversal of 36401026024000 is 42062010463.

It is a self number, because there is not a number n which added to its sum of digits gives 36401026024000.

It is not an unprimeable number, because it can be changed into a prime (36401026024003) 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 31 ways as a sum of consecutive naturals, for example, 552343051 + ... + 552408949.

Almost surely, 2^{36401026024000} 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 36401026024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49179747614400).

36401026024000 is an abundant number, since it is smaller than the sum of its proper divisors (61958469204800).

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

36401026024000 is a wasteful number, since it uses less digits than its factorization.

36401026024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72214 (or 72194 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 36401026024000 its reverse (42062010463), we get a palindrome (36443088034463).

The spelling of 36401026024000 in words is "thirty-six trillion, four hundred one billion, twenty-six million, twenty-four thousand".