11709142124400 has 720 divisors, whose sum is σ = 47561005313536. Its totient is φ = 2611812833280.

The previous prime is 11709142124353. The next prime is 11709142124461. The reversal of 11709142124400 is 442124190711.

It is a happy number.

11709142124400 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 91 + 42 + 124 + 400 = 666.

11709142124400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1411926654 + ... + 1411934946.

Almost surely, 2^{11709142124400} is an apocalyptic number.

11709142124400 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 11709142124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23780502656768).

11709142124400 is an abundant number, since it is smaller than the sum of its proper divisors (35851863189136).

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

11709142124400 is a wasteful number, since it uses less digits than its factorization.

11709142124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9670 (or 9656 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 11709142124400 in words is "eleven trillion, seven hundred nine billion, one hundred forty-two million, one hundred twenty-four thousand, four hundred".