30301059660144 has 1920 divisors, whose sum is σ = 108381063168000. Its totient is φ = 7238927646720.

The previous prime is 30301059660103. The next prime is 30301059660149. The reversal of 30301059660144 is 44106695010303.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 30301059660096 and 30301059660105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30301059660149) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 312382058304 + ... + 312382058400.

It is an arithmetic number, because the mean of its divisors is an integer number (56448470400).

Almost surely, 2^{30301059660144} 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 30301059660144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54190531584000).

30301059660144 is an abundant number, since it is smaller than the sum of its proper divisors (78080003507856).

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

30301059660144 is a wasteful number, since it uses less digits than its factorization.

30301059660144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 30301059660144 in words is "thirty trillion, three hundred one billion, fifty-nine million, six hundred sixty thousand, one hundred forty-four".