201433504450400 has 36 divisors (see below), whose sum is σ = 491749542741492. Its totient is φ = 80573401779840.

The previous prime is 201433504450397. The next prime is 201433504450427. The reversal of 201433504450400 is 4054405334102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 125895939482 + ... + 125895941081.

It is an arithmetic number, because the mean of its divisors is an integer number (13659709520597).

Almost surely, 2^{201433504450400} is an apocalyptic number.

201433504450400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201433504450400 is an abundant number, since it is smaller than the sum of its proper divisors (290316038291092).

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

201433504450400 is a wasteful number, since it uses less digits than its factorization.

201433504450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251791880583 (or 251791880570 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 201433504450400 its reverse (4054405334102), we get a palindrome (205487909784502).

The spelling of 201433504450400 in words is "two hundred one trillion, four hundred thirty-three billion, five hundred four million, four hundred fifty thousand, four hundred".