30102513440240 has 320 divisors, whose sum is σ = 74997744480000. Its totient is φ = 11236240097280.

The previous prime is 30102513440231. The next prime is 30102513440287. The reversal of 30102513440240 is 4204431520103.

It is a super-3 number, since 3×30102513440240³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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, 31989918170 + ... + 31989919110.

It is an arithmetic number, because the mean of its divisors is an integer number (234367951500).

Almost surely, 2^{30102513440240} 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 30102513440240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37498872240000).

30102513440240 is an abundant number, since it is smaller than the sum of its proper divisors (44895231039760).

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

30102513440240 is a wasteful number, since it uses less digits than its factorization.

30102513440240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 30102513440240 its reverse (4204431520103), we get a palindrome (34306944960343).

The spelling of 30102513440240 in words is "thirty trillion, one hundred two billion, five hundred thirteen million, four hundred forty thousand, two hundred forty".