24420400004256 has 96 divisors (see below), whose sum is σ = 64847424616128. Its totient is φ = 8045944934400.

The previous prime is 24420400004237. The next prime is 24420400004279. The reversal of 24420400004256 is 65240000402442.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×24420400004256² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3626115 + ... + 7873341.

It is an arithmetic number, because the mean of its divisors is an integer number (675494006418).

Almost surely, 2^{24420400004256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24420400004256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32423712308064).

24420400004256 is an abundant number, since it is smaller than the sum of its proper divisors (40427024611872).

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

24420400004256 is a wasteful number, since it uses less digits than its factorization.

24420400004256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4247934 (or 4247926 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

Adding to 24420400004256 its reverse (65240000402442), we get a palindrome (89660400406698).

The spelling of 24420400004256 in words is "twenty-four trillion, four hundred twenty billion, four hundred million, four thousand, two hundred fifty-six".