32001234001024 has 64 divisors (see below), whose sum is σ = 69149008114200. Its totient is φ = 14692101652480.

The previous prime is 32001234001013. The next prime is 32001234001043. The reversal of 32001234001024 is 42010043210023.

It can be written as a sum of positive squares in 4 ways, for example, as 28416149262400 + 3585084738624 = 5330680^2 + 1893432^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 32001234000986 and 32001234001004.

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 7 ways as a sum of consecutive naturals, for example, 179257729 + ... + 179436160.

Almost surely, 2^{32001234001024} is an apocalyptic number.

32001234001024 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

32001234001024 is an abundant number, since it is smaller than the sum of its proper divisors (37147774113176).

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

32001234001024 is a wasteful number, since it uses less digits than its factorization.

32001234001024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358693961 (or 358693949 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 32001234001024 its reverse (42010043210023), we get a palindrome (74011277211047).

The spelling of 32001234001024 in words is "thirty-two trillion, one billion, two hundred thirty-four million, one thousand, twenty-four".