1134967541760 has 1248 divisors, whose sum is σ = 4490032030848. Its totient is φ = 273277255680.

The previous prime is 1134967541749. The next prime is 1134967541857. The reversal of 1134967541760 is 671457694311.

It is a happy number.

1134967541760 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 96 + 7 + 541 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 1134967541697 and 1134967541706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3428904795 + ... + 3428905125.

It is an arithmetic number, because the mean of its divisors is an integer number (3597782076).

Almost surely, 2^{1134967541760} is an apocalyptic number.

1134967541760 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 1134967541760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245016015424).

1134967541760 is an abundant number, since it is smaller than the sum of its proper divisors (3355064489088).

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

1134967541760 is an equidigital number, since it uses as much as digits as its factorization.

1134967541760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 1134967541760 in words is "one trillion, one hundred thirty-four billion, nine hundred sixty-seven million, five hundred forty-one thousand, seven hundred sixty".