424200332400 has 120 divisors (see below), whose sum is σ = 1463382431280. Its totient is φ = 104418539520.

The previous prime is 424200332383. The next prime is 424200332447. The reversal of 424200332400 is 4233002424.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13580565 + ... + 13611764.

It is an arithmetic number, because the mean of its divisors is an integer number (12194853594).

Almost surely, 2^424200332400 is an apocalyptic number.

424200332400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424200332400 is an abundant number, since it is smaller than the sum of its proper divisors (1039182098880).

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

424200332400 is a wasteful number, since it uses less digits than its factorization.

424200332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27192363 (or 27192352 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 424200332400 its reverse (4233002424), we get a palindrome (428433334824).

The spelling of 424200332400 in words is "four hundred twenty-four billion, two hundred million, three hundred thirty-two thousand, four hundred".