1141565702040 has 192 divisors, whose sum is σ = 3758375462400. Its totient is φ = 300458246400.

The previous prime is 1141565702029. The next prime is 1141565702047. The reversal of 1141565702040 is 402075651411.

1141565702040 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 565 + 70 + 20 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1141565701986 and 1141565702004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141565702047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111792535 + ... + 111802745.

It is an arithmetic number, because the mean of its divisors is an integer number (19574872200).

Almost surely, 2^{1141565702040} is an apocalyptic number.

1141565702040 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 1141565702040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879187731200).

1141565702040 is an abundant number, since it is smaller than the sum of its proper divisors (2616809760360).

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

1141565702040 is a wasteful number, since it uses less digits than its factorization.

1141565702040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14238 (or 14231 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 1141565702040 in words is "one trillion, one hundred forty-one billion, five hundred sixty-five million, seven hundred two thousand, forty".