30364140000 has 240 divisors, whose sum is σ = 103935629952. Its totient is φ = 7744704000.

The previous prime is 30364139983. The next prime is 30364140041. The reversal of 30364140000 is 4146303.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×30364140000³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1368999 + ... + 1391001.

Almost surely, 2^30364140000 is an apocalyptic number.

30364140000 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 30364140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51967814976).

30364140000 is an abundant number, since it is smaller than the sum of its proper divisors (73571489952).

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

30364140000 is a wasteful number, since it uses less digits than its factorization.

30364140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22059 (or 22036 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 30364140000 its reverse (4146303), we get a palindrome (30368286303).

The spelling of 30364140000 in words is "thirty billion, three hundred sixty-four million, one hundred forty thousand".