403123341241400 has 384 divisors, whose sum is σ = 1029457797984000. Its totient is φ = 145910741852160.

The previous prime is 403123341241319. The next prime is 403123341241457. The reversal of 403123341241400 is 4142143321304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80479802096 + ... + 80479807104.

It is an arithmetic number, because the mean of its divisors is an integer number (2680879682250).

Almost surely, 2^{403123341241400} is an apocalyptic number.

403123341241400 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 403123341241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514728898992000).

403123341241400 is an abundant number, since it is smaller than the sum of its proper divisors (626334456742600).

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

403123341241400 is a wasteful number, since it uses less digits than its factorization.

403123341241400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7943 (or 7934 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 403123341241400 its reverse (4142143321304), we get a palindrome (407265484562704).

The spelling of 403123341241400 in words is "four hundred three trillion, one hundred twenty-three billion, three hundred forty-one million, two hundred forty-one thousand, four hundred".