300842422272 has 416 divisors, whose sum is σ = 1023652204800. Its totient is φ = 85529198592.

The previous prime is 300842422229. The next prime is 300842422297. The reversal of 300842422272 is 272224248003.

300842422272 is a `hidden beast` number, since 3 + 0 + 0 + 8 + 424 + 2 + 227 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177278128 + ... + 177279824.

Almost surely, 2^300842422272 is an apocalyptic number.

300842422272 is a gapful number since it is divisible by the number (32) 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 300842422272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511826102400).

300842422272 is an abundant number, since it is smaller than the sum of its proper divisors (722809782528).

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

300842422272 is a wasteful number, since it uses less digits than its factorization.

300842422272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

It can be divided in two parts, 30084 and 2422272, that added together give a square (2452356 = 1566²).

The spelling of 300842422272 in words is "three hundred billion, eight hundred forty-two million, four hundred twenty-two thousand, two hundred seventy-two".