2412003404400 has 960 divisors, whose sum is σ = 8931192652800. Its totient is φ = 552526479360.

The previous prime is 2412003404389. The next prime is 2412003404411. The reversal of 2412003404400 is 44043002142.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2412003404389) and next prime (2412003404411).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1563190029 + ... + 1563191571.

It is an arithmetic number, because the mean of its divisors is an integer number (9303325680).

Almost surely, 2^{2412003404400} is an apocalyptic number.

2412003404400 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 2412003404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4465596326400).

2412003404400 is an abundant number, since it is smaller than the sum of its proper divisors (6519189248400).

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

2412003404400 is a wasteful number, since it uses less digits than its factorization.

2412003404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1735 counting only the distinct ones).

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

Adding to 2412003404400 its reverse (44043002142), we get a palindrome (2456046406542).

The spelling of 2412003404400 in words is "two trillion, four hundred twelve billion, three million, four hundred four thousand, four hundred".