1141786910160 has 640 divisors, whose sum is σ = 4369720320000. Its totient is φ = 272208273408.

The previous prime is 1141786910137. The next prime is 1141786910171. The reversal of 1141786910160 is 610196871411.

1141786910160 is a `hidden beast` number, since 1 + 1 + 417 + 8 + 69 + 10 + 160 = 666.

It is a super-2 number, since 2×1141786910160² (a number of 25 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 237919441 + ... + 237924239.

It is an arithmetic number, because the mean of its divisors is an integer number (6827688000).

Almost surely, 2^{1141786910160} is an apocalyptic number.

1141786910160 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 1141786910160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184860160000).

1141786910160 is an abundant number, since it is smaller than the sum of its proper divisors (3227933409840).

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

1141786910160 is a wasteful number, since it uses less digits than its factorization.

1141786910160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5100 (or 5088 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 1141786910160 in words is "one trillion, one hundred forty-one billion, seven hundred eighty-six million, nine hundred ten thousand, one hundred sixty".