32533040400 has 360 divisors, whose sum is σ = 121578647040. Its totient is φ = 7414686720.

The previous prime is 32533040363. The next prime is 32533040401. The reversal of 32533040400 is 404033523.

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

It is not an unprimeable number, because it can be changed into a prime (32533040401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29928657 + ... + 29929743.

It is an arithmetic number, because the mean of its divisors is an integer number (337718464).

Almost surely, 2^32533040400 is an apocalyptic number.

32533040400 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 32533040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60789323520).

32533040400 is an abundant number, since it is smaller than the sum of its proper divisors (89045606640).

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

32533040400 is a wasteful number, since it uses less digits than its factorization.

32533040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

Adding to 32533040400 its reverse (404033523), we get a palindrome (32937073923).

The spelling of 32533040400 in words is "thirty-two billion, five hundred thirty-three million, forty thousand, four hundred".