203413004214420 has 768 divisors, whose sum is σ = 767486917435392. Its totient is φ = 38875246755840.

The previous prime is 203413004214361. The next prime is 203413004214463. The reversal of 203413004214420 is 24412400314302.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 34494316912 + ... + 34494322808.

It is an arithmetic number, because the mean of its divisors is an integer number (999331923744).

Almost surely, 2^{203413004214420} is an apocalyptic number.

203413004214420 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 203413004214420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383743458717696).

203413004214420 is an abundant number, since it is smaller than the sum of its proper divisors (564073913220972).

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

203413004214420 is a wasteful number, since it uses less digits than its factorization.

203413004214420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7920 (or 7918 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 203413004214420 its reverse (24412400314302), we get a palindrome (227825404528722).

The spelling of 203413004214420 in words is "two hundred three trillion, four hundred thirteen billion, four million, two hundred fourteen thousand, four hundred twenty".