203423114400 has 288 divisors, whose sum is σ = 723595311936. Its totient is φ = 49228800000.

The previous prime is 203423114381. The next prime is 203423114431. The reversal of 203423114400 is 4411324302.

It is a super-3 number, since 3×203423114400³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15859990 + ... + 15872810.

It is an arithmetic number, because the mean of its divisors is an integer number (2512483722).

Almost surely, 2^203423114400 is an apocalyptic number.

203423114400 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 203423114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361797655968).

203423114400 is an abundant number, since it is smaller than the sum of its proper divisors (520172197536).

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

203423114400 is a wasteful number, since it uses less digits than its factorization.

203423114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13456 (or 13443 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 203423114400 its reverse (4411324302), we get a palindrome (207834438702).

The spelling of 203423114400 in words is "two hundred three billion, four hundred twenty-three million, one hundred fourteen thousand, four hundred".