1115609126400 has 720 divisors, whose sum is σ = 4125157017696. Its totient is φ = 287769231360.

The previous prime is 1115609126389. The next prime is 1115609126431. The reversal of 1115609126400 is 46219065111.

1115609126400 is a `hidden beast` number, since 1 + 1 + 1 + 5 + 6 + 0 + 9 + 1 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 445707549 + ... + 445710051.

Almost surely, 2^{1115609126400} is an apocalyptic number.

1115609126400 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 1115609126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062578508848).

1115609126400 is an abundant number, since it is smaller than the sum of its proper divisors (3009547891296).

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

1115609126400 is a wasteful number, since it uses less digits than its factorization.

1115609126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 1115609126400 in words is "one trillion, one hundred fifteen billion, six hundred nine million, one hundred twenty-six thousand, four hundred".