30440124000 has 1344 divisors, whose sum is σ = 133544593728. Its totient is φ = 6718464000.

The previous prime is 30440123983. The next prime is 30440124017. The reversal of 30440124000 is 42104403.

It is an interprime number because it is at equal distance from previous prime (30440123983) and next prime (30440124017).

It is a super-2 number, since 2×30440124000² (a number of 22 digits) contains 22 as substring.

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

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 223 ways as a sum of consecutive naturals, for example, 416987964 + ... + 416988036.

It is an arithmetic number, because the mean of its divisors is an integer number (99363537).

Almost surely, 2^30440124000 is an apocalyptic number.

30440124000 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 30440124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66772296864).

30440124000 is an abundant number, since it is smaller than the sum of its proper divisors (103104469728).

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

30440124000 is a wasteful number, since it uses less digits than its factorization.

30440124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 30440124000 its reverse (42104403), we get a palindrome (30482228403).

The spelling of 30440124000 in words is "thirty billion, four hundred forty million, one hundred twenty-four thousand".