434324242400 has 36 divisors (see below), whose sum is σ = 1060294058712. Its totient is φ = 173729696640.

The previous prime is 434324242337. The next prime is 434324242403. The reversal of 434324242400 is 4242423434.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434324242403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 271451852 + ... + 271453451.

It is an arithmetic number, because the mean of its divisors is an integer number (29452612742).

Almost surely, 2^434324242400 is an apocalyptic number.

434324242400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434324242400 is an abundant number, since it is smaller than the sum of its proper divisors (625969816312).

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

434324242400 is a wasteful number, since it uses less digits than its factorization.

434324242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542905323 (or 542905310 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 434324242400 its reverse (4242423434), we get a palindrome (438566665834).

The spelling of 434324242400 in words is "four hundred thirty-four billion, three hundred twenty-four million, two hundred forty-two thousand, four hundred".