30230728961400 has 768 divisors, whose sum is σ = 120372759936000. Its totient is φ = 6892030771200.

The previous prime is 30230728961299. The next prime is 30230728961429. The reversal of 30230728961400 is 416982703203.

30230728961400 is a `hidden beast` number, since 3 + 0 + 2 + 3 + 0 + 7 + 28 + 9 + 614 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1331914852 + ... + 1331937548.

It is an arithmetic number, because the mean of its divisors is an integer number (156735364500).

Almost surely, 2^{30230728961400} is an apocalyptic number.

30230728961400 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 30230728961400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60186379968000).

30230728961400 is an abundant number, since it is smaller than the sum of its proper divisors (90142030974600).

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

30230728961400 is a wasteful number, since it uses less digits than its factorization.

30230728961400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24069 (or 24054 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 30230728961400 in words is "thirty trillion, two hundred thirty billion, seven hundred twenty-eight million, nine hundred sixty-one thousand, four hundred".