32003420400 has 720 divisors, whose sum is σ = 133096624128. Its totient is φ = 6967296000.

The previous prime is 32003420399. The next prime is 32003420411. The reversal of 32003420400 is 402430023.

32003420400 is a `hidden beast` number, since 3 + 200 + 3 + 420 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55464912 + ... + 55465488.

Almost surely, 2^32003420400 is an apocalyptic number.

32003420400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32003420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66548312064).

32003420400 is an abundant number, since it is smaller than the sum of its proper divisors (101093203728).

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

32003420400 is a wasteful number, since it uses less digits than its factorization.

32003420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 32003420400 its reverse (402430023), we get a palindrome (32405850423).

The spelling of 32003420400 in words is "thirty-two billion, three million, four hundred twenty thousand, four hundred".