30101434004000 has 96 divisors (see below), whose sum is σ = 73982504926512. Its totient is φ = 12036783360000.

The previous prime is 30101434003997. The next prime is 30101434004077. The reversal of 30101434004000 is 40043410103.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 28538020624 + 30072895983376 = 168932^2 + 5483876^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11541140 + ... + 13906860.

Almost surely, 2^{30101434004000} 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 30101434004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36991252463256).

30101434004000 is an abundant number, since it is smaller than the sum of its proper divisors (43881070922512).

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

30101434004000 is a wasteful number, since it uses less digits than its factorization.

30101434004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368927 (or 2368909 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 30101434004000 its reverse (40043410103), we get a palindrome (30141477414103).

The spelling of 30101434004000 in words is "thirty trillion, one hundred one billion, four hundred thirty-four million, four thousand".