2424442420400 has 480 divisors, whose sum is σ = 7898170484736. Its totient is φ = 690624000000.

The previous prime is 2424442420343. The next prime is 2424442420447. The reversal of 2424442420400 is 40242444242.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40410425 + ... + 40470375.

Almost surely, 2^{2424442420400} is an apocalyptic number.

2424442420400 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 2424442420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3949085242368).

2424442420400 is an abundant number, since it is smaller than the sum of its proper divisors (5473728064336).

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

2424442420400 is a wasteful number, since it uses less digits than its factorization.

2424442420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60101 (or 60090 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 2424442420400 its reverse (40242444242), we get a palindrome (2464684864642).

The spelling of 2424442420400 in words is "two trillion, four hundred twenty-four billion, four hundred forty-two million, four hundred twenty thousand, four hundred".