2413788098400 has 864 divisors, whose sum is σ = 10752593352480. Its totient is φ = 519264829440.

The previous prime is 2413788098389. The next prime is 2413788098471. The reversal of 2413788098400 is 48908873142.

It is a happy number.

2413788098400 is a `hidden beast` number, since 2 + 4 + 1 + 3 + 78 + 80 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 143 ways as a sum of consecutive naturals, for example, 17925724 + ... + 18059876.

It is an arithmetic number, because the mean of its divisors is an integer number (12445131195).

Almost surely, 2^{2413788098400} is an apocalyptic number.

2413788098400 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 2413788098400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5376296676240).

2413788098400 is an abundant number, since it is smaller than the sum of its proper divisors (8338805254080).

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

2413788098400 is a wasteful number, since it uses less digits than its factorization.

2413788098400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134213 (or 134187 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 2413788098400 in words is "two trillion, four hundred thirteen billion, seven hundred eighty-eight million, ninety-eight thousand, four hundred".