36142252225400 has 96 divisors (see below), whose sum is σ = 84267177984000. Its totient is φ = 14416238102400.

The previous prime is 36142252225399. The next prime is 36142252225423. The reversal of 36142252225400 is 452225224163.

36142252225400 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×36142252225400³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 400649501 + ... + 400739699.

It is an arithmetic number, because the mean of its divisors is an integer number (877783104000).

Almost surely, 2^{36142252225400} 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 36142252225400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42133588992000).

36142252225400 is an abundant number, since it is smaller than the sum of its proper divisors (48124925758600).

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

36142252225400 is a wasteful number, since it uses less digits than its factorization.

36142252225400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95829 (or 95820 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

Adding to 36142252225400 its reverse (452225224163), we get a palindrome (36594477449563).

The spelling of 36142252225400 in words is "thirty-six trillion, one hundred forty-two billion, two hundred fifty-two million, two hundred twenty-five thousand, four hundred".