30205440000 has 1040 divisors, whose sum is σ = 122825683200. Its totient is φ = 7299072000.

The previous prime is 30205439993. The next prime is 30205440011. The reversal of 30205440000 is 4450203.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1313279989 + ... + 1313280011.

Almost surely, 2^30205440000 is an apocalyptic number.

30205440000 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 30205440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61412841600).

30205440000 is an abundant number, since it is smaller than the sum of its proper divisors (92620243200).

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

30205440000 is an equidigital number, since it uses as much as digits as its factorization.

30205440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

Adding to 30205440000 its reverse (4450203), we get a palindrome (30209890203).

The spelling of 30205440000 in words is "thirty billion, two hundred five million, four hundred forty thousand".