30390977373120 has 3360 divisors, whose sum is σ = 142895934200448. Its totient is φ = 5982287560704.

The previous prime is 30390977373089. The next prime is 30390977373167. The reversal of 30390977373120 is 2137377909303.

30390977373120 is a `hidden beast` number, since 30 + 39 + 0 + 97 + 7 + 373 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×30390977373120² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 90180941592 + ... + 90180941928.

Almost surely, 2^{30390977373120} is an apocalyptic number.

30390977373120 is a gapful number since it is divisible by the number (30) 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 30390977373120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71447967100224).

30390977373120 is an abundant number, since it is smaller than the sum of its proper divisors (112504956827328).

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

30390977373120 is a wasteful number, since it uses less digits than its factorization.

30390977373120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 4500846, while the sum is 54.

The spelling of 30390977373120 in words is "thirty trillion, three hundred ninety billion, nine hundred seventy-seven million, three hundred seventy-three thousand, one hundred twenty".