301430221400 has 192 divisors, whose sum is σ = 911746644480. Its totient is φ = 89867289600.

The previous prime is 301430221373. The next prime is 301430221447. The reversal of 301430221400 is 4122034103.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 71309 + ... + 779708.

It is an arithmetic number, because the mean of its divisors is an integer number (4748680440).

Almost surely, 2^301430221400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 301430221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455873322240).

301430221400 is an abundant number, since it is smaller than the sum of its proper divisors (610316423080).

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

301430221400 is a wasteful number, since it uses less digits than its factorization.

301430221400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851074 (or 851065 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 301430221400 its reverse (4122034103), we get a palindrome (305552255503).

The spelling of 301430221400 in words is "three hundred one billion, four hundred thirty million, two hundred twenty-one thousand, four hundred".