12434402400 has 144 divisors (see below), whose sum is σ = 46256039424. Its totient is φ = 2842145280.

The previous prime is 12434402399. The next prime is 12434402411. The reversal of 12434402400 is 420443421.

It is a happy number.

It is a super-2 number, since 2×12434402400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 353272 + ... + 386871.

It is an arithmetic number, because the mean of its divisors is an integer number (321222496).

Almost surely, 2^12434402400 is an apocalyptic number.

12434402400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12434402400 is an abundant number, since it is smaller than the sum of its proper divisors (33821637024).

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

12434402400 is a wasteful number, since it uses less digits than its factorization.

12434402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740173 (or 740160 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 12434402400 its reverse (420443421), we get a palindrome (12854845821).

The spelling of 12434402400 in words is "twelve billion, four hundred thirty-four million, four hundred two thousand, four hundred".