30795841440 has 1728 divisors, whose sum is σ = 147105745920. Its totient is φ = 5957038080.

The previous prime is 30795841333. The next prime is 30795841441. The reversal of 30795841440 is 4414859703.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (30795841441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 993414225 + ... + 993414255.

It is an arithmetic number, because the mean of its divisors is an integer number (85130640).

Almost surely, 2^30795841440 is an apocalyptic number.

30795841440 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 30795841440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73552872960).

30795841440 is an abundant number, since it is smaller than the sum of its proper divisors (116309904480).

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

30795841440 is a wasteful number, since it uses less digits than its factorization.

30795841440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 30795841440 in words is "thirty billion, seven hundred ninety-five million, eight hundred forty-one thousand, four hundred forty".