42434310400 has 216 divisors, whose sum is σ = 107896219200. Its totient is φ = 16516915200.

The previous prime is 42434310397. The next prime is 42434310431. The reversal of 42434310400 is 401343424.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41157885 + ... + 41158915.

Almost surely, 2^42434310400 is an apocalyptic number.

42434310400 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 42434310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53948109600).

42434310400 is an abundant number, since it is smaller than the sum of its proper divisors (65461908800).

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

42434310400 is a wasteful number, since it uses less digits than its factorization.

42434310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 42434310400 its reverse (401343424), we get a palindrome (42835653824).

The spelling of 42434310400 in words is "forty-two billion, four hundred thirty-four million, three hundred ten thousand, four hundred".