32342430252000 has 1152 divisors, whose sum is σ = 118229470369920. Its totient is φ = 7722418176000.

The previous prime is 32342430251977. The next prime is 32342430252007. The reversal of 32342430252000 is 25203424323.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32342430252007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39013787586 + ... + 39013788414.

It is an arithmetic number, because the mean of its divisors is an integer number (102629748585).

Almost surely, 2^{32342430252000} is an apocalyptic number.

32342430252000 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 32342430252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59114735184960).

32342430252000 is an abundant number, since it is smaller than the sum of its proper divisors (85887040117920).

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

32342430252000 is a wasteful number, since it uses less digits than its factorization.

32342430252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 32342430252000 its reverse (25203424323), we get a palindrome (32367633676323).

The spelling of 32342430252000 in words is "thirty-two trillion, three hundred forty-two billion, four hundred thirty million, two hundred fifty-two thousand".