403251345204400 has 480 divisors, whose sum is σ = 1260800903577600. Its totient is φ = 120184307020800.

The previous prime is 403251345204311. The next prime is 403251345204419. The reversal of 403251345204400 is 4402543152304.

It is a super-2 number, since 2×403251345204400² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 403251345204400.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2181071161 + ... + 2181256039.

It is an arithmetic number, because the mean of its divisors is an integer number (2626668549120).

Almost surely, 2^{403251345204400} is an apocalyptic number.

403251345204400 is a gapful number since it is divisible by the number (40) 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 403251345204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630400451788800).

403251345204400 is an abundant number, since it is smaller than the sum of its proper divisors (857549558373200).

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

403251345204400 is a wasteful number, since it uses less digits than its factorization.

403251345204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188017 (or 188006 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 37.

Adding to 403251345204400 its reverse (4402543152304), we get a palindrome (407653888356704).

The spelling of 403251345204400 in words is "four hundred three trillion, two hundred fifty-one billion, three hundred forty-five million, two hundred four thousand, four hundred".