32420144400 has 180 divisors, whose sum is σ = 120808263312. Its totient is φ = 7410305280.

The previous prime is 32420144387. The next prime is 32420144443. The reversal of 32420144400 is 444102423.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 216882 + ... + 334481.

Almost surely, 2^32420144400 is an apocalyptic number.

32420144400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32420144400 is an abundant number, since it is smaller than the sum of its proper divisors (88388118912).

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

32420144400 is a wasteful number, since it uses less digits than its factorization.

32420144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551398 (or 551380 counting only the distinct ones).

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

Adding to 32420144400 its reverse (444102423), we get a palindrome (32864246823).

The spelling of 32420144400 in words is "thirty-two billion, four hundred twenty million, one hundred forty-four thousand, four hundred".