300438642000 has 320 divisors, whose sum is σ = 1113131755008. Its totient is φ = 68290560000.

The previous prime is 300438641983. The next prime is 300438642041. The reversal of 300438642000 is 246834003.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7582240 + ... + 7621760.

Almost surely, 2^300438642000 is an apocalyptic number.

300438642000 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 300438642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556565877504).

300438642000 is an abundant number, since it is smaller than the sum of its proper divisors (812693113008).

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

300438642000 is a wasteful number, since it uses less digits than its factorization.

300438642000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39735 (or 39719 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 300438642000 in words is "three hundred billion, four hundred thirty-eight million, six hundred forty-two thousand".