32040221400 has 288 divisors, whose sum is σ = 119377627200. Its totient is φ = 7635398400.

The previous prime is 32040221393. The next prime is 32040221413. The reversal of 32040221400 is 412204023.

32040221400 is a `hidden beast` number, since 3 + 2 + 0 + 40 + 221 + 400 = 666.

It is a super-2 number, since 2×32040221400² (a number of 22 digits) contains 22 as substring.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1154487 + ... + 1181913.

It is an arithmetic number, because the mean of its divisors is an integer number (414505650).

Almost surely, 2^32040221400 is an apocalyptic number.

32040221400 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 32040221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59688813600).

32040221400 is an abundant number, since it is smaller than the sum of its proper divisors (87337405800).

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

32040221400 is a wasteful number, since it uses less digits than its factorization.

32040221400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27519 (or 27507 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 32040221400 its reverse (412204023), we get a palindrome (32452425423).

The spelling of 32040221400 in words is "thirty-two billion, forty million, two hundred twenty-one thousand, four hundred".