30024414420000 has 3840 divisors, whose sum is σ = 138711838003200. Its totient is φ = 5484257280000.

The previous prime is 30024414419983. The next prime is 30024414420083. The reversal of 30024414420000 is 2441442003.

It is a happy number.

It is a super-2 number, since 2×30024414420000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 131110979886 + ... + 131110980114.

It is an arithmetic number, because the mean of its divisors is an integer number (36122874480).

Almost surely, 2^{30024414420000} is an apocalyptic number.

30024414420000 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 30024414420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69355919001600).

30024414420000 is an abundant number, since it is smaller than the sum of its proper divisors (108687423583200).

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

30024414420000 is a wasteful number, since it uses less digits than its factorization.

30024414420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 30024414420000 its reverse (2441442003), we get a palindrome (30026855862003).

The spelling of 30024414420000 in words is "thirty trillion, twenty-four billion, four hundred fourteen million, four hundred twenty thousand".