32231225525400 has 288 divisors, whose sum is σ = 118142706240000. Its totient is φ = 7809712070400.

The previous prime is 32231225525329. The next prime is 32231225525437. The reversal of 32231225525400 is 452552213223.

It is a happy number.

32231225525400 is a `hidden beast` number, since 3 + 2 + 2 + 3 + 1 + 225 + 5 + 25 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 39173037 + ... + 39987363.

It is an arithmetic number, because the mean of its divisors is an integer number (410217730000).

Almost surely, 2^{32231225525400} is an apocalyptic number.

32231225525400 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 32231225525400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59071353120000).

32231225525400 is an abundant number, since it is smaller than the sum of its proper divisors (85911480714600).

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

32231225525400 is a wasteful number, since it uses less digits than its factorization.

32231225525400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816359 (or 816347 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 32231225525400 its reverse (452552213223), we get a palindrome (32683777738623).

The spelling of 32231225525400 in words is "thirty-two trillion, two hundred thirty-one billion, two hundred twenty-five million, five hundred twenty-five thousand, four hundred".