201412033222400 has 648 divisors, whose sum is σ = 681302762988624. Its totient is φ = 57948703948800.

The previous prime is 201412033222391. The next prime is 201412033222447. The reversal of 201412033222400 is 4222330214102.

It is a super-2 number, since 2×201412033222400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 201412033222400.

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 71 ways as a sum of consecutive naturals, for example, 42599144 + ... + 47090456.

Almost surely, 2^{201412033222400} is an apocalyptic number.

201412033222400 is a gapful number since it is divisible by the number (20) 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 201412033222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340651381494312).

201412033222400 is an abundant number, since it is smaller than the sum of its proper divisors (479890729766224).

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

201412033222400 is a wasteful number, since it uses less digits than its factorization.

201412033222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4491377 (or 4491351 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 201412033222400 its reverse (4222330214102), we get a palindrome (205634363436502).

The spelling of 201412033222400 in words is "two hundred one trillion, four hundred twelve billion, thirty-three million, two hundred twenty-two thousand, four hundred".