1141178734080 has 960 divisors, whose sum is σ = 5144205749760. Its totient is φ = 237120307200.

The previous prime is 1141178733977. The next prime is 1141178734109. The reversal of 1141178734080 is 804378711411.

1141178734080 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 178 + 73 + 408 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

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, 37240365 + ... + 37270995.

It is an arithmetic number, because the mean of its divisors is an integer number (5358547656).

Almost surely, 2^{1141178734080} is an apocalyptic number.

1141178734080 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 1141178734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572102874880).

1141178734080 is an abundant number, since it is smaller than the sum of its proper divisors (4003027015680).

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

1141178734080 is a wasteful number, since it uses less digits than its factorization.

1141178734080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30688 (or 30659 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 1141178734080 in words is "one trillion, one hundred forty-one billion, one hundred seventy-eight million, seven hundred thirty-four thousand, eighty".