32435221140252 has 240 divisors, whose sum is σ = 100520015016960. Its totient is φ = 8923260060288.

The previous prime is 32435221140197. The next prime is 32435221140253. The reversal of 32435221140252 is 25204112253423.

32435221140252 is a `hidden beast` number, since 3 + 2 + 4 + 35 + 2 + 211 + 402 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32435221140253) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23466463 + ... + 24810185.

It is an arithmetic number, because the mean of its divisors is an integer number (418833395904).

Almost surely, 2^{32435221140252} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32435221140252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50260007508480).

32435221140252 is an abundant number, since it is smaller than the sum of its proper divisors (68084793876708).

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

32435221140252 is a wasteful number, since it uses less digits than its factorization.

32435221140252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344142 (or 1344131 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 32435221140252 its reverse (25204112253423), we get a palindrome (57639333393675).

The spelling of 32435221140252 in words is "thirty-two trillion, four hundred thirty-five billion, two hundred twenty-one million, one hundred forty thousand, two hundred fifty-two".