30032441040 has 240 divisors, whose sum is σ = 108450826560. Its totient is φ = 6855045120.

The previous prime is 30032441003. The next prime is 30032441057. The reversal of 30032441040 is 4014423003.

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 (21).

It is a junction number, because it is equal to n+sod(n) for n = 30032440998 and 30032441016.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 11864575 + ... + 11867105.

It is an arithmetic number, because the mean of its divisors is an integer number (451878444).

Almost surely, 2^30032441040 is an apocalyptic number.

30032441040 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 30032441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54225413280).

30032441040 is an abundant number, since it is smaller than the sum of its proper divisors (78418385520).

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

30032441040 is a wasteful number, since it uses less digits than its factorization.

30032441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3570 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 30032441040 its reverse (4014423003), we get a palindrome (34046864043).

The spelling of 30032441040 in words is "thirty billion, thirty-two million, four hundred forty-one thousand, forty".