30200448240 has 240 divisors, whose sum is σ = 105482832000. Its totient is φ = 8030244096.

The previous prime is 30200448233. The next prime is 30200448277. The reversal of 30200448240 is 4284400203.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 7365711 + ... + 7369809.

It is an arithmetic number, because the mean of its divisors is an integer number (439511800).

Almost surely, 2^30200448240 is an apocalyptic number.

30200448240 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 30200448240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52741416000).

30200448240 is an abundant number, since it is smaller than the sum of its proper divisors (75282383760).

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

30200448240 is a wasteful number, since it uses less digits than its factorization.

30200448240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4506 (or 4488 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 30200448240 its reverse (4284400203), we get a palindrome (34484848443).

The spelling of 30200448240 in words is "thirty billion, two hundred million, four hundred forty-eight thousand, two hundred forty".