1143704642400 has 360 divisors, whose sum is σ = 4352216221584. Its totient is φ = 291727180800.

The previous prime is 1143704642389. The next prime is 1143704642417. The reversal of 1143704642400 is 42464073411.

1143704642400 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 7 + 0 + 4 + 642 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1106710 + ... + 1874090.

Almost surely, 2^{1143704642400} is an apocalyptic number.

1143704642400 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 1143704642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176108110792).

1143704642400 is an abundant number, since it is smaller than the sum of its proper divisors (3208511579184).

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

1143704642400 is a wasteful number, since it uses less digits than its factorization.

1143704642400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767436 (or 767414 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 1143704642400 in words is "one trillion, one hundred forty-three billion, seven hundred four million, six hundred forty-two thousand, four hundred".