30456001442132 has 96 divisors (see below), whose sum is σ = 65716855303680. Its totient is φ = 12052085760000.

The previous prime is 30456001442071. The next prime is 30456001442159. The reversal of 30456001442132 is 23124410065403.

It is a super-3 number, since 3×30456001442132³ (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30456001442092 and 30456001442101.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 412920257 + ... + 412994007.

It is an arithmetic number, because the mean of its divisors is an integer number (684550576080).

Almost surely, 2^{30456001442132} 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 30456001442132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32858427651840).

30456001442132 is an abundant number, since it is smaller than the sum of its proper divisors (35260853861548).

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

30456001442132 is a wasteful number, since it uses less digits than its factorization.

30456001442132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90201 (or 90199 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The spelling of 30456001442132 in words is "thirty trillion, four hundred fifty-six billion, one million, four hundred forty-two thousand, one hundred thirty-two".