4430310312132 has 192 divisors, whose sum is σ = 12453335193600. Its totient is φ = 1357840471680.

The previous prime is 4430310312119. The next prime is 4430310312229. The reversal of 4430310312132 is 2312130130344.

It is a happy number.

4430310312132 is a `hidden beast` number, since 4 + 4 + 3 + 0 + 310 + 312 + 1 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4430310312096 and 4430310312105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16216707 + ... + 16487637.

It is an arithmetic number, because the mean of its divisors is an integer number (64861120800).

Almost surely, 2^{4430310312132} 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 4430310312132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6226667596800).

4430310312132 is an abundant number, since it is smaller than the sum of its proper divisors (8023024881468).

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

4430310312132 is a wasteful number, since it uses less digits than its factorization.

4430310312132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271223 (or 271215 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 4430310312132 its reverse (2312130130344), we get a palindrome (6742440442476).

The spelling of 4430310312132 in words is "four trillion, four hundred thirty billion, three hundred ten million, three hundred twelve thousand, one hundred thirty-two".