424204410400 has 144 divisors (see below), whose sum is σ = 1065000835584. Its totient is φ = 164922567680.

The previous prime is 424204410373. The next prime is 424204410419. The reversal of 424204410400 is 4014402424.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4490049 + ... + 4583551.

It is an arithmetic number, because the mean of its divisors is an integer number (7395839136).

Almost surely, 2^424204410400 is an apocalyptic number.

424204410400 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 424204410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532500417792).

424204410400 is an abundant number, since it is smaller than the sum of its proper divisors (640796425184).

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

424204410400 is a wasteful number, since it uses less digits than its factorization.

424204410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93683 (or 93670 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 424204410400 its reverse (4014402424), we get a palindrome (428218812824).

The spelling of 424204410400 in words is "four hundred twenty-four billion, two hundred four million, four hundred ten thousand, four hundred".