30442077662700 has 432 divisors, whose sum is σ = 98496987039360. Its totient is φ = 7252156876800.

The previous prime is 30442077662681. The next prime is 30442077662741. The reversal of 30442077662700 is 726677024403.

It is a self number, because there is not a number n which added to its sum of digits gives 30442077662700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1019034964 + ... + 1019064836.

Almost surely, 2^{30442077662700} is an apocalyptic number.

30442077662700 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 30442077662700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49248493519680).

30442077662700 is an abundant number, since it is smaller than the sum of its proper divisors (68054909376660).

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

30442077662700 is a wasteful number, since it uses less digits than its factorization.

30442077662700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30398 (or 30380 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 48.

The spelling of 30442077662700 in words is "thirty trillion, four hundred forty-two billion, seventy-seven million, six hundred sixty-two thousand, seven hundred".