30878406144 has 480 divisors, whose sum is σ = 99494524800. Its totient is φ = 9450455040.

The previous prime is 30878406109. The next prime is 30878406193. The reversal of 30878406144 is 44160487803.

30878406144 is a `hidden beast` number, since 30 + 8 + 78 + 406 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 30878406144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 235712959 + ... + 235713089.

It is an arithmetic number, because the mean of its divisors is an integer number (207280260).

Almost surely, 2^30878406144 is an apocalyptic number.

30878406144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30878406144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49747262400).

30878406144 is an abundant number, since it is smaller than the sum of its proper divisors (68616118656).

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

30878406144 is a wasteful number, since it uses less digits than its factorization.

30878406144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 30878406144 in words is "thirty billion, eight hundred seventy-eight million, four hundred six thousand, one hundred forty-four".