423410002400 has 288 divisors, whose sum is σ = 1289842444800. Its totient is φ = 131855616000.

The previous prime is 423410002369. The next prime is 423410002453. The reversal of 423410002400 is 4200014324.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93075326 + ... + 93079874.

It is an arithmetic number, because the mean of its divisors is an integer number (4478619600).

Almost surely, 2^423410002400 is an apocalyptic number.

423410002400 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 423410002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644921222400).

423410002400 is an abundant number, since it is smaller than the sum of its proper divisors (866432442400).

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

423410002400 is a wasteful number, since it uses less digits than its factorization.

423410002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6098 (or 6085 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 423410002400 its reverse (4200014324), we get a palindrome (427610016724).

The spelling of 423410002400 in words is "four hundred twenty-three billion, four hundred ten million, two thousand, four hundred".