30276117144 has 320 divisors, whose sum is σ = 104729856000. Its totient is φ = 7957460736.

The previous prime is 30276117127. The next prime is 30276117191. The reversal of 30276117144 is 44171167203.

30276117144 is a `hidden beast` number, since 3 + 0 + 27 + 611 + 7 + 14 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30276117099 and 30276117108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21640557 + ... + 21641955.

It is an arithmetic number, because the mean of its divisors is an integer number (327280800).

Almost surely, 2^30276117144 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 30276117144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52364928000).

30276117144 is an abundant number, since it is smaller than the sum of its proper divisors (74453738856).

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

30276117144 is a wasteful number, since it uses less digits than its factorization.

30276117144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 30276117144 in words is "thirty billion, two hundred seventy-six million, one hundred seventeen thousand, one hundred forty-four".