30450379944600 has 2160 divisors, whose sum is σ = 136972119160800. Its totient is φ = 6245701862400.

The previous prime is 30450379944587. The next prime is 30450379944629. The reversal of 30450379944600 is 644997305403.

It is a happy number.

30450379944600 is a `hidden beast` number, since 3 + 0 + 4 + 503 + 7 + 9 + 94 + 46 + 0 + 0 = 666.

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 polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 7587932194 + ... + 7587936206.

It is an arithmetic number, because the mean of its divisors is an integer number (63413018130).

Almost surely, 2^{30450379944600} is an apocalyptic number.

30450379944600 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 30450379944600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68486059580400).

30450379944600 is an abundant number, since it is smaller than the sum of its proper divisors (106521739216200).

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

30450379944600 is a wasteful number, since it uses less digits than its factorization.

30450379944600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4156 (or 4120 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 30450379944600 in words is "thirty trillion, four hundred fifty billion, three hundred seventy-nine million, nine hundred forty-four thousand, six hundred".