11424555102400 has 168 divisors, whose sum is σ = 30804672374784. Its totient is φ = 4135752729600.

The previous prime is 11424555102361. The next prime is 11424555102451. The reversal of 11424555102400 is 420155542411.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2469369 + ... + 5380231.

It is an arithmetic number, because the mean of its divisors is an integer number (183361145088).

Almost surely, 2^{11424555102400} is an apocalyptic number.

11424555102400 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 11424555102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15402336187392).

11424555102400 is an abundant number, since it is smaller than the sum of its proper divisors (19380117272384).

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

11424555102400 is a wasteful number, since it uses less digits than its factorization.

11424555102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2911119 (or 2911104 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 34.

The spelling of 11424555102400 in words is "eleven trillion, four hundred twenty-four billion, five hundred fifty-five million, one hundred two thousand, four hundred".