434012340400 has 60 divisors (see below), whose sum is σ = 1059808390144. Its totient is φ = 170758944000.

The previous prime is 434012340389. The next prime is 434012340401. The reversal of 434012340400 is 4043210434.

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

It is not an unprimeable number, because it can be changed into a prime (434012340401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8869296 + ... + 8918095.

Almost surely, 2^434012340400 is an apocalyptic number.

434012340400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434012340400 is an abundant number, since it is smaller than the sum of its proper divisors (625796049744).

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

434012340400 is a wasteful number, since it uses less digits than its factorization.

434012340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17787470 (or 17787459 counting only the distinct ones).

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

Adding to 434012340400 its reverse (4043210434), we get a palindrome (438055550834).

The spelling of 434012340400 in words is "four hundred thirty-four billion, twelve million, three hundred forty thousand, four hundred".