32420224142400 has 84 divisors (see below), whose sum is σ = 106365352056272. Its totient is φ = 8645393103360.

The previous prime is 32420224142359. The next prime is 32420224142407. The reversal of 32420224142400 is 424142202423.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (32420224142407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3377101882 + ... + 3377111481.

Almost surely, 2^{32420224142400} is an apocalyptic number.

32420224142400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32420224142400 is an abundant number, since it is smaller than the sum of its proper divisors (73945127913872).

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

32420224142400 is a wasteful number, since it uses less digits than its factorization.

32420224142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6754213388 (or 6754213373 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 32420224142400 its reverse (424142202423), we get a palindrome (32844366344823).

The spelling of 32420224142400 in words is "thirty-two trillion, four hundred twenty billion, two hundred twenty-four million, one hundred forty-two thousand, four hundred".