203201431401408 has 224 divisors, whose sum is σ = 592276214073600. Its totient is φ = 60971700387840.

The previous prime is 203201431401403. The next prime is 203201431401421. The reversal of 203201431401408 is 804104134102302.

It is a super-2 number, since 2×203201431401408² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203201431401403) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 477291418 + ... + 477716966.

It is an arithmetic number, because the mean of its divisors is an integer number (2644090241400).

Almost surely, 2^{203201431401408} 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 203201431401408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296138107036800).

203201431401408 is an abundant number, since it is smaller than the sum of its proper divisors (389074782672192).

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

203201431401408 is a wasteful number, since it uses less digits than its factorization.

203201431401408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427795 (or 427785 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 203201431401408 in words is "two hundred three trillion, two hundred one billion, four hundred thirty-one million, four hundred one thousand, four hundred eight".