201004403134400 has 168 divisors, whose sum is σ = 500637347825664. Its totient is φ = 79420069555200.

The previous prime is 201004403134399. The next prime is 201004403134417. The reversal of 201004403134400 is 4431304400102.

It is a self number, because there is not a number n which added to its sum of digits gives 201004403134400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 832668119 + ... + 832909481.

It is an arithmetic number, because the mean of its divisors is an integer number (2979984213248).

Almost surely, 2^{201004403134400} is an apocalyptic number.

201004403134400 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 201004403134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250318673912832).

201004403134400 is an abundant number, since it is smaller than the sum of its proper divisors (299632944691264).

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

201004403134400 is a wasteful number, since it uses less digits than its factorization.

201004403134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247739 (or 247724 counting only the distinct ones).

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

Adding to 201004403134400 its reverse (4431304400102), we get a palindrome (205435707534502).

The spelling of 201004403134400 in words is "two hundred one trillion, four billion, four hundred three million, one hundred thirty-four thousand, four hundred".