30214265400 has 288 divisors, whose sum is σ = 110899152000. Its totient is φ = 7311110400.

The previous prime is 30214265299. The next prime is 30214265401. The reversal of 30214265400 is 456241203.

30214265400 is a `hidden beast` number, since 3 + 0 + 2 + 1 + 4 + 2 + 654 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30214265401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14393551 + ... + 14395649.

It is an arithmetic number, because the mean of its divisors is an integer number (385066500).

Almost surely, 2^30214265400 is an apocalyptic number.

30214265400 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 30214265400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55449576000).

30214265400 is an abundant number, since it is smaller than the sum of its proper divisors (80684886600).

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

30214265400 is a wasteful number, since it uses less digits than its factorization.

30214265400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2859 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 30214265400 in words is "thirty billion, two hundred fourteen million, two hundred sixty-five thousand, four hundred".