2412424444100 has 216 divisors, whose sum is σ = 5881410024000. Its totient is φ = 857992608000.

The previous prime is 2412424444091. The next prime is 2412424444109. The reversal of 2412424444100 is 14444242142.

It is an interprime number because it is at equal distance from previous prime (2412424444091) and next prime (2412424444109).

It is not an unprimeable number, because it can be changed into a prime (2412424444109) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 142057610 + ... + 142074590.

Almost surely, 2^{2412424444100} is an apocalyptic number.

2412424444100 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 2412424444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2940705012000).

2412424444100 is an abundant number, since it is smaller than the sum of its proper divisors (3468985579900).

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

2412424444100 is a wasteful number, since it uses less digits than its factorization.

2412424444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17275 (or 17257 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 2412424444100 its reverse (14444242142), we get a palindrome (2426868686242).

The spelling of 2412424444100 in words is "two trillion, four hundred twelve billion, four hundred twenty-four million, four hundred forty-four thousand, one hundred".