30145420421440 has 112 divisors (see below), whose sum is σ = 72316410453504. Its totient is φ = 11968718950400.

The previous prime is 30145420421401. The next prime is 30145420421483. The reversal of 30145420421440 is 4412402454103.

It is a junction number, because it is equal to n+sod(n) for n = 30145420421396 and 30145420421405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 413418585 + ... + 413491495.

It is an arithmetic number, because the mean of its divisors is an integer number (645682236192).

Almost surely, 2^{30145420421440} 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 30145420421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36158205226752).

30145420421440 is an abundant number, since it is smaller than the sum of its proper divisors (42170990032064).

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

30145420421440 is a wasteful number, since it uses less digits than its factorization.

30145420421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82496 (or 82486 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

Adding to 30145420421440 its reverse (4412402454103), we get a palindrome (34557822875543).

The spelling of 30145420421440 in words is "thirty trillion, one hundred forty-five billion, four hundred twenty million, four hundred twenty-one thousand, four hundred forty".