434012110400 has 84 divisors (see below), whose sum is σ = 1165026646320. Its totient is φ = 157822579200.

The previous prime is 434012110381. The next prime is 434012110403. The reversal of 434012110400 is 4011210434.

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

It is not an unprimeable number, because it can be changed into a prime (434012110403) 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, 12312290 + ... + 12347489.

Almost surely, 2^434012110400 is an apocalyptic number.

434012110400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434012110400 is an abundant number, since it is smaller than the sum of its proper divisors (731014535920).

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

434012110400 is a wasteful number, since it uses less digits than its factorization.

434012110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24659812 (or 24659797 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 434012110400 its reverse (4011210434), we get a palindrome (438023320834).

The spelling of 434012110400 in words is "four hundred thirty-four billion, twelve million, one hundred ten thousand, four hundred".