1230413108400 has 540 divisors, whose sum is σ = 4974817341312. Its totient is φ = 280794608640.

The previous prime is 1230413108387. The next prime is 1230413108411. The reversal of 1230413108400 is 48013140321.

1230413108400 is a `hidden beast` number, since 1 + 2 + 304 + 1 + 310 + 8 + 40 + 0 = 666.

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 107 ways as a sum of consecutive naturals, for example, 119417649 + ... + 119427951.

Almost surely, 2^{1230413108400} is an apocalyptic number.

1230413108400 is a gapful number since it is divisible by the number (10) 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 1230413108400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487408670656).

1230413108400 is an abundant number, since it is smaller than the sum of its proper divisors (3744404232912).

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

1230413108400 is a wasteful number, since it uses less digits than its factorization.

1230413108400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11018 (or 10997 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1230413108400 its reverse (48013140321), we get a palindrome (1278426248721).

The spelling of 1230413108400 in words is "one trillion, two hundred thirty billion, four hundred thirteen million, one hundred eight thousand, four hundred".