3132440442432 has 336 divisors, whose sum is σ = 11086573305600. Its totient is φ = 842336022528.

The previous prime is 3132440442409. The next prime is 3132440442433. The reversal of 3132440442432 is 2342440442313.

3132440442432 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 4 + 404 + 4 + 243 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (3132440442433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2892333 + ... + 3824979.

Almost surely, 2^{3132440442432} is an apocalyptic number.

3132440442432 is a gapful number since it is divisible by the number (32) 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 3132440442432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5543286652800).

3132440442432 is an abundant number, since it is smaller than the sum of its proper divisors (7954132863168).

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

3132440442432 is a wasteful number, since it uses less digits than its factorization.

3132440442432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932703 (or 932676 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 3132440442432 its reverse (2342440442313), we get a palindrome (5474880884745).

The spelling of 3132440442432 in words is "three trillion, one hundred thirty-two billion, four hundred forty million, four hundred forty-two thousand, four hundred thirty-two".