24414020030120 has 128 divisors (see below), whose sum is σ = 63542627850240. Its totient is φ = 8268715265280.

The previous prime is 24414020030087. The next prime is 24414020030123. The reversal of 24414020030120 is 2103002041442.

It is a super-2 number, since 2×24414020030120² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (24414020030123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217725989 + ... + 217838091.

It is an arithmetic number, because the mean of its divisors is an integer number (496426780080).

Almost surely, 2^{24414020030120} is an apocalyptic number.

24414020030120 is a gapful number since it is divisible by the number (20) 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 24414020030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31771313925120).

24414020030120 is an abundant number, since it is smaller than the sum of its proper divisors (39128607820120).

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

24414020030120 is a wasteful number, since it uses less digits than its factorization.

24414020030120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121575 (or 121571 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 24414020030120 its reverse (2103002041442), we get a palindrome (26517022071562).

The spelling of 24414020030120 in words is "twenty-four trillion, four hundred fourteen billion, twenty million, thirty thousand, one hundred twenty".