30400120320 has 80 divisors (see below), whose sum is σ = 97185409200. Its totient is φ = 8106696704.

The previous prime is 30400120279. The next prime is 30400120321. The reversal of 30400120320 is 2302100403.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30400120320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30400120321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1971495 + ... + 1986854.

It is an arithmetic number, because the mean of its divisors is an integer number (1214817615).

Almost surely, 2^30400120320 is an apocalyptic number.

30400120320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30400120320 is an abundant number, since it is smaller than the sum of its proper divisors (66785288880).

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

30400120320 is an equidigital number, since it uses as much as digits as its factorization.

30400120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3958375 (or 3958359 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 30400120320 its reverse (2302100403), we get a palindrome (32702220723).

The spelling of 30400120320 in words is "thirty billion, four hundred million, one hundred twenty thousand, three hundred twenty".