424121411400 has 96 divisors (see below), whose sum is σ = 1316556880800. Its totient is φ = 112945881600.

The previous prime is 424121411377. The next prime is 424121411401. The reversal of 424121411400 is 4114121424.

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

It is not an unprimeable number, because it can be changed into a prime (424121411401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34861 + ... + 921660.

It is an arithmetic number, because the mean of its divisors is an integer number (13714134175).

Almost surely, 2^424121411400 is an apocalyptic number.

424121411400 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 424121411400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658278440400).

424121411400 is an abundant number, since it is smaller than the sum of its proper divisors (892435469400).

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

424121411400 is a wasteful number, since it uses less digits than its factorization.

424121411400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957279 (or 957270 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 424121411400 its reverse (4114121424), we get a palindrome (428235532824).

The spelling of 424121411400 in words is "four hundred twenty-four billion, one hundred twenty-one million, four hundred eleven thousand, four hundred".