32140431312000 has 1024 divisors, whose sum is σ = 122486757120000. Its totient is φ = 7373223936000.

The previous prime is 32140431311999. The next prime is 32140431312029. The reversal of 32140431312000 is 21313404123.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15840526986 + ... + 15840529014.

It is an arithmetic number, because the mean of its divisors is an integer number (119615973750).

Almost surely, 2^{32140431312000} is an apocalyptic number.

32140431312000 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 32140431312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61243378560000).

32140431312000 is an abundant number, since it is smaller than the sum of its proper divisors (90346325808000).

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

32140431312000 is a wasteful number, since it uses less digits than its factorization.

32140431312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3670 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 32140431312000 its reverse (21313404123), we get a palindrome (32161744716123).

The spelling of 32140431312000 in words is "thirty-two trillion, one hundred forty billion, four hundred thirty-one million, three hundred twelve thousand".