1134373109760 has 1280 divisors, whose sum is σ = 4638560256000. Its totient is φ = 260466278400.

The previous prime is 1134373109731. The next prime is 1134373109767. The reversal of 1134373109760 is 679013734311.

1134373109760 is a `hidden beast` number, since 1 + 134 + 373 + 1 + 0 + 97 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1134373109767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24135598057 + ... + 24135598103.

It is an arithmetic number, because the mean of its divisors is an integer number (3623875200).

Almost surely, 2^{1134373109760} is an apocalyptic number.

1134373109760 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 1134373109760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2319280128000).

1134373109760 is an abundant number, since it is smaller than the sum of its proper divisors (3504187146240).

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

1134373109760 is an frugal number, since it uses more digits than its factorization.

1134373109760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 1134373109760 in words is "one trillion, one hundred thirty-four billion, three hundred seventy-three million, one hundred nine thousand, seven hundred sixty".